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1023142104 = 233431353
BaseRepresentation
bin111100111110111…
…110100011011000
32122022020000010000
4330332332203120
54043411021404
6245305253000
734232364405
oct7476764330
92568200100
101023142104
1148559a896
12246794160
13133c8083a
1499c532ac
155ec53339
hex3cfbe8d8

1023142104 has 160 divisors (see below), whose sum is σ = 3017139840. Its totient is φ = 323818560.

The previous prime is 1023142091. The next prime is 1023142117. The reversal of 1023142104 is 4012413201.

1023142104 is a `hidden beast` number, since 10 + 231 + 421 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1023142091) and next prime (1023142117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19304542 + ... + 19304594.

It is an arithmetic number, because the mean of its divisors is an integer number (18857124).

Almost surely, 21023142104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508569920).

1023142104 is an abundant number, since it is smaller than the sum of its proper divisors (1993997736).

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

1023142104 is an frugal number, since it uses more digits than its factorization.

1023142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1023142104 is about 31986.5925662613. The cubic root of 1023142104 is about 1007.6552817858.

Adding to 1023142104 its reverse (4012413201), we get a palindrome (5035555305).

The spelling of 1023142104 in words is "one billion, twenty-three million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 53 54 62 72 81 93 106 108 124 159 162 186 212 216 248 279 318 324 372 424 477 558 636 648 744 837 954 961 1116 1272 1431 1643 1674 1908 1922 2232 2511 2862 2883 3286 3348 3816 3844 4293 4929 5022 5724 5766 6572 6696 7688 8586 8649 9858 10044 11448 11532 13144 14787 17172 17298 19716 20088 23064 25947 29574 29791 34344 34596 39432 44361 50933 51894 59148 59582 69192 77841 88722 89373 101866 103788 118296 119164 133083 152799 155682 177444 178746 203732 207576 238328 266166 268119 305598 311364 354888 357492 407464 458397 532332 536238 611196 622728 714984 804357 916794 1064664 1072476 1222392 1375191 1578923 1608714 1833588 2144952 2413071 2750382 3157846 3217428 3667176 4125573 4736769 4826142 5500764 6315692 6434856 8251146 9473538 9652284 11001528 12631384 14210307 16502292 18947076 19304568 28420614 33004584 37894152 42630921 56841228 85261842 113682456 127892763 170523684 255785526 341047368 511571052 1023142104