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232133103424 = 2612738337451
BaseRepresentation
bin1101100000110000110…
…1100000111101000000
3211012011202101110200001
43120030031200331000
512300402033302144
6254350202005344
722525321552165
oct3301415407500
9735152343601
10232133103424
118a4a10a3422
1238ba4aa6854
1318b755c2841
14b34195206c
1560894a3bd4
hex360c360f40

232133103424 has 56 divisors (see below), whose sum is σ = 464449655808. Its totient is φ = 115107148800.

The previous prime is 232133103401. The next prime is 232133103427. The reversal of 232133103424 is 424301331232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232133103392 and 232133103401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232133103427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31150899 + ... + 31158349.

Almost surely, 2232133103424 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 232133103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232224827904).

232133103424 is an abundant number, since it is smaller than the sum of its proper divisors (232316552384).

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

232133103424 is a wasteful number, since it uses less digits than its factorization.

232133103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 232133103424 its reverse (424301331232), we get a palindrome (656434434656).

The spelling of 232133103424 in words is "two hundred thirty-two billion, one hundred thirty-three million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 3833 4064 7451 7666 8128 14902 15332 29804 30664 59608 61328 119216 122656 238432 245312 476864 486791 946277 973582 1892554 1947164 3785108 3894328 7570216 7788656 15140432 15577312 28559683 30280864 31154624 57119366 60561728 114238732 228477464 456954928 913909856 1827819712 3627079741 7254159482 14508318964 29016637928 58033275856 116066551712 232133103424