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10102440132 = 2232877319981
BaseRepresentation
bin10010110100010011…
…10000000011000100
3222002001112010120100
421122021300003010
5131142211041012
64350242204100
7505230216141
oct113211600304
928061463510
1010102440132
114314622884
121b5b353630
13c4cca6835
146bb9cb3c8
153e1d958dc
hex25a2700c4

10102440132 has 36 divisors (see below), whose sum is σ = 25565921836. Its totient is φ = 3363629760.

The previous prime is 10102440109. The next prime is 10102440191. The reversal of 10102440132 is 23104420101.

It can be written as a sum of positive squares in 2 ways, for example, as 6591166596 + 3511273536 = 81186^2 + 59256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128419 + ... + 191562.

Almost surely, 210102440132 is an apocalyptic number.

10102440132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102440132 is an abundant number, since it is smaller than the sum of its proper divisors (15463481704).

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

10102440132 is a wasteful number, since it uses less digits than its factorization.

10102440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320868 (or 320863 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10102440132 its reverse (23104420101), we get a palindrome (33206860233).

The spelling of 10102440132 in words is "ten billion, one hundred two million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 877 1754 2631 3508 5262 7893 10524 15786 31572 319981 639962 959943 1279924 1919886 2879829 3839772 5759658 11519316 280623337 561246674 841870011 1122493348 1683740022 2525610033 3367480044 5051220066 10102440132