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3012424242102 = 2341117379726189
BaseRepresentation
bin101011110101100010011…
…110100001001110110110
3101122222121000200011120000
4223311202132201032312
5343323421101221402
610223515534052130
7430432452400212
oct53654236411666
911588530604500
103012424242102
11a6161aa50760
124079b294a046
1318b0bb843252
14a5b32dc9942
1553560365c1c
hex2bd627a13b6

3012424242102 has 160 divisors (see below), whose sum is σ = 7799213964960. Its totient is φ = 858899358720.

The previous prime is 3012424242101. The next prime is 3012424242103. The reversal of 3012424242102 is 2012424242103.

It is a happy number.

3012424242102 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 424 + 24 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3012424242101) and next prime (3012424242103).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3012424242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 115013224 + ... + 115039412.

It is an arithmetic number, because the mean of its divisors is an integer number (48745087281).

Almost surely, 23012424242102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012424242102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899606982480).

3012424242102 is an abundant number, since it is smaller than the sum of its proper divisors (4786789722858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3012424242102 is a wasteful number, since it uses less digits than its factorization.

3012424242102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30028 (or 30019 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3012424242102 its reverse (2012424242103), we get a palindrome (5024848484205).

Subtracting from 3012424242102 its reverse (2012424242103), we obtain a palindrome (999999999999).

The spelling of 3012424242102 in words is "three trillion, twelve billion, four hundred twenty-four million, two hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2754 3366 3797 5049 7594 10098 11391 15147 22782 26189 30294 34173 41767 52378 64549 68346 78567 83534 102519 125301 129098 157134 193647 205038 235701 250602 288079 307557 375903 387294 445213 471402 576158 580941 615114 707103 710039 751806 864237 890426 1127709 1161882 1335639 1414206 1420078 1728474 1742823 2121309 2130117 2255418 2592711 2671278 3383127 3485646 4006917 4242618 4260234 4897343 5185422 5228469 6390351 6766254 7778133 8013834 9794686 10456938 12020751 12780702 14692029 15556266 19171053 23334399 24041502 29384058 36062253 38342106 44076087 46668798 57513159 72124506 88152174 99439633 115026318 132228261 198879266 264456522 298318899 396684783 596637798 793369566 894956697 1093835963 1690473761 1789913394 2187671926 2684870091 3281507889 3380947522 5071421283 5369740182 6563015778 8054610273 9844523667 10142842566 15214263849 16109220546 18595211371 19689047334 29533571001 30428527698 37190422742 45642791547 55785634113 59067142002 88600713003 91285583094 111571268226 136928374641 167356902339 177201426006 273856749282 334713804678 502070707017 1004141414034 1506212121051 3012424242102