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10000013100 = 22352721161843
BaseRepresentation
bin10010101000000110…
…00001011100101100
3221210220210022002120
421110003001130230
5130440000404400
64332142552540
7502544465100
oct112403013454
927726708076
1010000013100
114271823940
121b30b98750
13c349c341c
146ac167900
153d7db1ca0
hex2540c172c

10000013100 has 216 divisors, whose sum is σ = 36717524928. Its totient is φ = 2077891200.

The previous prime is 10000013081. The next prime is 10000013123. The reversal of 10000013100 is 131000001.

It is a super-2 number, since 2×100000131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130779 + ... + 192621.

Almost surely, 210000013100 is an apocalyptic number.

10000013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358762464).

10000013100 is an abundant number, since it is smaller than the sum of its proper divisors (26717511828).

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

10000013100 is a wasteful number, since it uses less digits than its factorization.

10000013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61885 (or 61871 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10000013100 its reverse (131000001), we get a palindrome (10131013101).

The spelling of 10000013100 in words is "ten billion, thirteen thousand, one hundred".