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10000100100 = 2235233333667
BaseRepresentation
bin10010101000000110…
…10110101100000100
3221210220221201102210
421110003112230010
5130440011200400
64332144503420
7502545306534
oct112403265404
927726851383
1010000100100
114271883241
121b3101ab70
13c34a23bc3
146ac18b4c4
153d7dcc950
hex2540d6b04

10000100100 has 36 divisors (see below), whose sum is σ = 28933623824. Its totient is φ = 2666693280.

The previous prime is 10000100059. The next prime is 10000100107. The reversal of 10000100100 is 100100001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

10000100100 is a modest number, since divided by 100100 gives 10000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000100107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16666534 + ... + 16667133.

Almost surely, 210000100100 is an apocalyptic number.

10000100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100100 is an abundant number, since it is smaller than the sum of its proper divisors (18933523724).

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

10000100100 is a wasteful number, since it uses less digits than its factorization.

10000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333684 (or 33333677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000100100 its reverse (100100001), we get a palindrome (10100200101).

Subtracting from 10000100100 its reverse (100100001), we obtain a palindrome (9900000099).

The spelling of 10000100100 in words is "ten billion, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33333667 66667334 100001001 133334668 166668335 200002002 333336670 400004004 500005005 666673340 833341675 1000010010 1666683350 2000020020 2500025025 3333366700 5000050050 10000100100