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133232141232 = 24321735348111
BaseRepresentation
bin111110000010101000…
…0010010001110110000
3110201220011210000212100
41330011100102032300
54140324412004412
6141112255100400
712424421341431
oct1740520221660
9421804700770
10133232141232
115155a085733
12219a3211700
13c7436b7b38
14663c85d488
1536eb9aeedc
hex1f054123b0

133232141232 has 60 divisors (see below), whose sum is σ = 375020309664. Its totient is φ = 44153996160.

The previous prime is 133232141191. The next prime is 133232141233. The reversal of 133232141232 is 232141232331.

133232141232 is a `hidden beast` number, since 1 + 3 + 323 + 214 + 123 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133232141196 and 133232141205.

It is not an unprimeable number, because it can be changed into a prime (133232141233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2649144 + ... + 2698967.

Almost surely, 2133232141232 is an apocalyptic number.

133232141232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133232141232 is an abundant number, since it is smaller than the sum of its proper divisors (241788168432).

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

133232141232 is a wasteful number, since it uses less digits than its factorization.

133232141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348298 (or 5348289 counting only the distinct ones).

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

Adding to 133232141232 its reverse (232141232331), we get a palindrome (365373373563).

The spelling of 133232141232 in words is "one hundred thirty-three billion, two hundred thirty-two million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 5348111 10696222 16044333 21392444 32088666 42784888 48132999 64177332 85569776 96265998 128354664 192531996 256709328 385063992 770127984 925223203 1850446406 2775669609 3700892812 5551339218 7401785624 8327008827 11102678436 14803571248 16654017654 22205356872 33308035308 44410713744 66616070616 133232141232