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133134233112 = 233210191814609
BaseRepresentation
bin111101111111101101…
…0110010111000011000
3110201122100112210011200
41323333122302320120
54140124330424422
6141054440354200
712422122211136
oct1737732627030
9421570483150
10133134233112
1151509892931
1221976475960
13c72932753a
14662d854756
1536e30c02ac
hex1eff6b2e18

133134233112 has 48 divisors (see below), whose sum is σ = 360925929000. Its totient is φ = 44334502656.

The previous prime is 133134233101. The next prime is 133134233123. The reversal of 133134233112 is 211332431331.

133134233112 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 342 + 3 + 311 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133134233101) and next prime (133134233123).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833937 + ... + 980672.

Almost surely, 2133134233112 is an apocalyptic number.

133134233112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133134233112 is an abundant number, since it is smaller than the sum of its proper divisors (227791695888).

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

133134233112 is a wasteful number, since it uses less digits than its factorization.

133134233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815640 (or 1815633 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 133134233112 its reverse (211332431331), we get a palindrome (344466664443).

The spelling of 133134233112 in words is "one hundred thirty-three billion, one hundred thirty-four million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1019 2038 3057 4076 6114 8152 9171 12228 18342 24456 36684 73368 1814609 3629218 5443827 7258436 10887654 14516872 16331481 21775308 32662962 43550616 65325924 130651848 1849086571 3698173142 5547259713 7396346284 11094519426 14792692568 16641779139 22189038852 33283558278 44378077704 66567116556 133134233112