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10123212100 = 2252101232121
BaseRepresentation
bin10010110110110001…
…11111010101000100
3222010111121110100111
421123120333111010
5131213020241400
64352303322404
7505601611621
oct113330772504
928114543314
1010123212100
1143253200a1
121b662b0404
13c5439a441
146c0677348
153e3aea3ba
hex25b63f544

10123212100 has 18 divisors (see below), whose sum is σ = 21967370474. Its totient is φ = 4049284800.

The previous prime is 10123212089. The next prime is 10123212119. The reversal of 10123212100 is 121232101.

It can be written as a sum of positive squares in 3 ways, for example, as 2654104324 + 7469107776 = 51518^2 + 86424^2 .

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, 50615961 + ... + 50616160.

Almost surely, 210123212100 is an apocalyptic number.

10123212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123212100 is an abundant number, since it is smaller than the sum of its proper divisors (11844158374).

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

10123212100 is a wasteful number, since it uses less digits than its factorization.

10123212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101232135 (or 101232128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10123212100 its reverse (121232101), we get a palindrome (10244444201).

The spelling of 10123212100 in words is "ten billion, one hundred twenty-three million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101232121 202464242 404928484 506160605 1012321210 2024642420 2530803025 5061606050 10123212100