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10001000100 = 22352713379901
BaseRepresentation
bin10010101000001101…
…10010011010100100
3221210222122110000010
421110012302122210
5130440224000400
64332220050220
7502556045460
oct112406623244
927728573003
1010001000100
114272338443
121b31393970
13c34c7a750
146ac3434a0
153d8009450
hex2541b26a4

10001000100 has 288 divisors, whose sum is σ = 36580047616. Its totient is φ = 2052864000.

The previous prime is 10001000089. The next prime is 10001000123. The reversal of 10001000100 is 100010001.

Adding to 10001000100 its reverse (100010001), we get a palindrome (10101010101).

Subtracting from 10001000100 its reverse (100010001), we obtain a palindrome (9900990099).

10001000100 divided by its reverse (100010001) gives a square (100 = 102).

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.

10001000100 is a modest number, since divided by 1000100 gives 100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005150 + ... + 1015050.

Almost surely, 210001000100 is an apocalyptic number.

10001000100 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 10001000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18290023808).

10001000100 is an abundant number, since it is smaller than the sum of its proper divisors (26579047516).

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

10001000100 is a wasteful number, since it uses less digits than its factorization.

10001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9968 counting only the distinct ones).

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

The spelling of 10001000100 in words is "ten billion, one million, one hundred", and thus it is an aban number.