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101132822656 = 271746476481
BaseRepresentation
bin101111000101111111…
…1000110100010000000
3100200001010020200210101
41132023333012202000
53124110000311111
6114243151212144
710210110544315
oct1361377064200
9320033220711
10101132822656
1139987929578
1217725217054
1396c94130c8
144c756a4d0c
15296d905bc1
hex178bfc6880

101132822656 has 32 divisors (see below), whose sum is σ = 213327052380. Its totient is φ = 47591915520.

The previous prime is 101132822653. The next prime is 101132822671. The reversal of 101132822656 is 656228231101.

It can be written as a sum of positive squares in 2 ways, for example, as 100895169600 + 237653056 = 317640^2 + 15416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (101132822653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23236065 + ... + 23240416.

Almost surely, 2101132822656 is an apocalyptic number.

101132822656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101132822656 is an abundant number, since it is smaller than the sum of its proper divisors (112194229724).

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

101132822656 is an equidigital number, since it uses as much as digits as its factorization.

101132822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46476512 (or 46476500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 101132822656 in words is "one hundred one billion, one hundred thirty-two million, eight hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 46476481 92952962 185905924 371811848 743623696 790100177 1487247392 1580200354 2974494784 3160400708 5948989568 6320801416 12641602832 25283205664 50566411328 101132822656