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10010000100 = 22352436731153
BaseRepresentation
bin10010101001010010…
…00111101011100100
3221211121120200200110
421110221013223210
5131000030000400
64333141013020
7503025411522
oct112451075344
927747520613
1010010000100
114277425261
121b343b4170
13c36aac0a9
153d8bd5e50
hex254a47ae4

10010000100 has 144 divisors (see below), whose sum is σ = 29705584832. Its totient is φ = 2601123840.

The previous prime is 10010000059. The next prime is 10010000111. The reversal of 10010000100 is 100001001.

Adding to 10010000100 its reverse (100001001), we get a palindrome (10110001101).

Subtracting from 10010000100 its reverse (100001001), we obtain a palindrome (9909999099).

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.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8681124 + ... + 8682276.

Almost surely, 210010000100 is an apocalyptic number.

10010000100 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 10010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852792416).

10010000100 is an abundant number, since it is smaller than the sum of its proper divisors (19695584732).

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

10010000100 is a wasteful number, since it uses less digits than its factorization.

10010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1879 counting only the distinct ones).

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

The spelling of 10010000100 in words is "ten billion, ten million, one hundred", and thus it is an aban number.