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10210000100 = 2252102100001
BaseRepresentation
bin10011000001001000…
…00011110011100100
3222100112220202002212
421200210003303210
5131402230000400
64405043422552
7511004366066
oct114044036344
928315822085
1010210000100
11436a308213
121b8b384a58
13c693663a1
146cbdc9736
153eb540335
hex260903ce4

10210000100 has 18 divisors (see below), whose sum is σ = 22155700434. Its totient is φ = 4084000000.

The previous prime is 10210000093. The next prime is 10210000117. The reversal of 10210000100 is 100001201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 787026916 + 9422973184 = 28054^2 + 97072^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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 5 ways as a sum of consecutive naturals, for example, 51049901 + ... + 51050100.

Almost surely, 210210000100 is an apocalyptic number.

10210000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210000100 is an abundant number, since it is smaller than the sum of its proper divisors (11945700334).

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

10210000100 is a wasteful number, since it uses less digits than its factorization.

10210000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102100015 (or 102100008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10210000100 its reverse (100001201), we get a palindrome (10310001301).

The spelling of 10210000100 in words is "ten billion, two hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 102100001 204200002 408400004 510500005 1021000010 2042000020 2552500025 5105000050 10210000100