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10600000900 = 2252586918061
BaseRepresentation
bin10011101111100111…
…10010110110000100
31000100201202211121221
421313303302312010
5133202100012100
64511454450124
7523451343466
oct116763626604
930321684557
1010600000900
11454a473625
122079b03944
13ccc0b65a8
14727b0a136
154208cb01a
hex277cf2d84

10600000900 has 36 divisors (see below), whose sum is σ = 23007194980. Its totient is φ = 4239043200.

The previous prime is 10600000897. The next prime is 10600000919. The reversal of 10600000900 is 900000601.

It can be written as a sum of positive squares in 6 ways, for example, as 458302464 + 10141698436 = 21408^2 + 100706^2 .

It is a super-2 number, since 2×106000009002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 577870 + ... + 595930.

Almost surely, 210600000900 is an apocalyptic number.

10600000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10600000900 is an abundant number, since it is smaller than the sum of its proper divisors (12407194080).

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

10600000900 is a wasteful number, since it uses less digits than its factorization.

10600000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23944 (or 23937 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The spelling of 10600000900 in words is "ten billion, six hundred million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 5869 11738 18061 23476 29345 36122 58690 72244 90305 117380 146725 180610 293450 361220 451525 586900 903050 1806100 106000009 212000018 424000036 530000045 1060000090 2120000180 2650000225 5300000450 10600000900