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10122000100 = 2252101220001
BaseRepresentation
bin10010110110101000…
…10111011011100100
3222010102022212210121
421123110113123210
5131212213000400
64352221331324
7505555403242
oct113324273344
928112285717
1010122000100
114324672543
121b65a06b44
13c54064894
146c043d792
153e395b21a
hex25b5176e4

10122000100 has 18 divisors (see below), whose sum is σ = 21964740434. Its totient is φ = 4048800000.

The previous prime is 10122000059. The next prime is 10122000113. The reversal of 10122000100 is 100022101.

It can be written as a sum of positive squares in 3 ways, for example, as 8479744 + 10113520356 = 2912^2 + 100566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50609901 + ... + 50610100.

Almost surely, 210122000100 is an apocalyptic number.

10122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122000100 is an abundant number, since it is smaller than the sum of its proper divisors (11842740334).

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

10122000100 is a wasteful number, since it uses less digits than its factorization.

10122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101220015 (or 101220008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10122000100 its reverse (100022101), we get a palindrome (10222022201).

The spelling of 10122000100 in words is "ten billion, one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 101220001 202440002 404880004 506100005 1012200010 2024400020 2530500025 5061000050 10122000100