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3000330102 = 23711173112323
BaseRepresentation
bin1011001011010101…
…0110011101110110
321202002122120011010
42302311112131312
522121041030402
61213415253050
7134231246040
oct26265263566
97662576133
103000330102
1112aa676460
126b897a186
1338a79b873
14206690a90
1512860ba6c
hexb2d56776

3000330102 has 128 divisors (see below), whose sum is σ = 8177614848. Its totient is φ = 709747200.

The previous prime is 3000330101. The next prime is 3000330121. The reversal of 3000330102 is 2010330003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000330101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237313 + ... + 249635.

It is an arithmetic number, because the mean of its divisors is an integer number (63887616).

Almost surely, 23000330102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000330102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088807424).

3000330102 is an abundant number, since it is smaller than the sum of its proper divisors (5177284746).

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

3000330102 is a wasteful number, since it uses less digits than its factorization.

3000330102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12394.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3000330102 is about 54775.2690728215. The cubic root of 3000330102 is about 1442.3024671970.

Adding to 3000330102 its reverse (2010330003), we get a palindrome (5010660105).

Subtracting from 3000330102 its reverse (2010330003), we obtain a palindrome (990000099).

The spelling of 3000330102 in words is "three billion, three hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 17 21 22 31 33 34 42 51 62 66 77 93 102 119 154 186 187 217 231 238 341 357 374 434 462 527 561 651 682 714 1023 1054 1122 1302 1309 1581 2046 2387 2618 3162 3689 3927 4774 5797 7161 7378 7854 11067 11594 12323 14322 17391 22134 24646 34782 36969 40579 73938 81158 86261 121737 135553 172522 209491 243474 258783 271106 382013 406659 418982 517566 628473 764026 813318 948871 1146039 1256946 1466437 1897742 2292078 2304401 2674091 2846613 2932874 4202143 4399311 4608802 5348182 5693226 6494221 6913203 8022273 8404286 8798622 12606429 12988442 13826406 16044546 16130807 19482663 25212858 29415001 32261614 38965326 45459547 48392421 58830002 71436431 88245003 90919094 96784842 136378641 142872862 176490006 214309293 272757282 428618586 500055017 1000110034 1500165051 3000330102