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30801332232 = 23321143988589
BaseRepresentation
bin11100101011111001…
…110000100000001000
32221111121010210112200
4130223321300200020
51001040120112412
622052215240200
72140200001266
oct345371604010
987447123480
1030801332232
1112076604880
125b77379060
132b9b3c3498
1416c2a3d436
15c041659dc
hex72be70808

30801332232 has 96 divisors (see below), whose sum is σ = 91212264000. Its totient is φ = 9312370560.

The previous prime is 30801332209. The next prime is 30801332267. The reversal of 30801332232 is 23223310803.

30801332232 is a `hidden beast` number, since 308 + 0 + 1 + 3 + 322 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30801332196 and 30801332205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303394 + ... + 391982.

It is an arithmetic number, because the mean of its divisors is an integer number (950127750).

Almost surely, 230801332232 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 30801332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45606132000).

30801332232 is an abundant number, since it is smaller than the sum of its proper divisors (60410931768).

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

30801332232 is a wasteful number, since it uses less digits than its factorization.

30801332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89051 (or 89044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 30801332232 in words is "thirty billion, eight hundred one million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 439 792 878 1317 1756 2634 3512 3951 4829 5268 7902 9658 10536 14487 15804 19316 28974 31608 38632 43461 57948 86922 88589 115896 173844 177178 265767 347688 354356 531534 708712 797301 974479 1063068 1594602 1948958 2126136 2923437 3189204 3897916 5846874 6378408 7795832 8770311 11693748 17540622 23387496 35081244 38890571 70162488 77781142 116671713 155562284 233343426 311124568 350015139 427796281 466686852 700030278 855592562 933373704 1283388843 1400060556 1711185124 2566777686 2800121112 3422370248 3850166529 5133555372 7700333058 10267110744 15400666116 30801332232