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10122113000 = 235310122113
BaseRepresentation
bin10010110110101001…
…10010111111101000
3222010102112121200002
421123110302333220
5131212230104000
64352224002132
7505556353346
oct113324627750
928112477602
1010122113000
11432473a34a
121b65a60348
13c540a409c
146c046c996
153e397e8d5
hex25b532fe8

10122113000 has 32 divisors (see below), whose sum is σ = 23685746760. Its totient is φ = 4048844800.

The previous prime is 10122112951. The next prime is 10122113017. The reversal of 10122113000 is 31122101.

It can be written as a sum of positive squares in 4 ways, for example, as 1473484996 + 8648628004 = 38386^2 + 92998^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5060057 + ... + 5062056.

Almost surely, 210122113000 is an apocalyptic number.

10122113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122113000 is an abundant number, since it is smaller than the sum of its proper divisors (13563633760).

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

10122113000 is a wasteful number, since it uses less digits than its factorization.

10122113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122134 (or 10122120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10122113000 its reverse (31122101), we get a palindrome (10153235101).

The spelling of 10122113000 in words is "ten billion, one hundred twenty-two million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10122113 20244226 40488452 50610565 80976904 101221130 202442260 253052825 404884520 506105650 1012211300 1265264125 2024422600 2530528250 5061056500 10122113000