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23103434232 = 23323131732653
BaseRepresentation
bin10101100001000100…
…100110110111111000
32012122010012001200100
4111201010212313320
5334303434343412
614340310435400
71445344644054
oct254104466770
965563161610
1023103434232
1198863170aa
124589362b60
132242635b58
141192534c64
15903441edc
hex561126df8

23103434232 has 96 divisors (see below), whose sum is σ = 64795985280. Its totient is φ = 7428983040.

The previous prime is 23103434191. The next prime is 23103434287. The reversal of 23103434232 is 23243430132.

23103434232 is a `hidden beast` number, since 2 + 310 + 3 + 4 + 342 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23103434196 and 23103434205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691218 + ... + 723870.

It is an arithmetic number, because the mean of its divisors is an integer number (674958180).

Almost surely, 223103434232 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 23103434232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32397992640).

23103434232 is an abundant number, since it is smaller than the sum of its proper divisors (41692551048).

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

23103434232 is a wasteful number, since it uses less digits than its factorization.

23103434232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33013 (or 33006 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23103434232 its reverse (23243430132), we get a palindrome (46346864364).

The spelling of 23103434232 in words is "twenty-three billion, one hundred three million, four hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 317 372 558 634 744 951 1116 1268 1902 2232 2536 2853 3804 5706 7608 9827 11412 19654 22824 29481 32653 39308 58962 65306 78616 88443 97959 117924 130612 176886 195918 235848 261224 293877 353772 391836 587754 707544 783672 1012243 1175508 2024486 2351016 3036729 4048972 6073458 8097944 9110187 10351001 12146916 18220374 20702002 24293832 31053003 36440748 41404004 62106006 72881496 82808008 93159009 124212012 186318018 248424024 320881031 372636036 641762062 745272072 962643093 1283524124 1925286186 2567048248 2887929279 3850572372 5775858558 7701144744 11551717116 23103434232