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101332310131122 = 23711232148418567
BaseRepresentation
bin10111000010100101000100…
…010110011000000110110010
3111021210021101220212201000220
4113002211010112120012302
5101240212032343143442
6555303230504353510
730226006052330640
oct2702450426300662
9437707356781026
10101332310131122
112a318878383074
12b446a69775896
1344707990b6a65
141b0471d550190
15baad45041eec
hex5c29445981b2

101332310131122 has 32 divisors (see below), whose sum is σ = 231822957161472. Its totient is φ = 28926307572624.

The previous prime is 101332310131093. The next prime is 101332310131123. The reversal of 101332310131122 is 221131013233101.

101332310131122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101332310131092 and 101332310131101.

It is not an unprimeable number, because it can be changed into a prime (101332310131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074162118 + ... + 1074256449.

It is an arithmetic number, because the mean of its divisors is an integer number (7244467411296).

Almost surely, 2101332310131122 is an apocalyptic number.

101332310131122 is an abundant number, since it is smaller than the sum of its proper divisors (130490647030350).

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

101332310131122 is a wasteful number, since it uses less digits than its factorization.

101332310131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148419702.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101332310131122 its reverse (221131013233101), we get a palindrome (322463323364223).

The spelling of 101332310131122 in words is "one hundred one trillion, three hundred thirty-two billion, three hundred ten million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 1123 2246 3369 6738 7861 15722 23583 47166 2148418567 4296837134 6445255701 12890511402 15038929969 30077859938 45116789907 90233579814 2412674050741 4825348101482 7238022152223 14476044304446 16888718355187 33777436710374 50666155065561 101332310131122