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212937100 = 22522129371
BaseRepresentation
bin11001011000100…
…10100110001100
3112211200022210021
430230102212030
5414002441400
633043551524
75163635605
oct1454224614
9484608707
10212937100
11aa219882
125b38b5a4
13351669ac
14203ccdac
1513a6271a
hexcb1298c

212937100 has 18 divisors (see below), whose sum is σ = 462073724. Its totient is φ = 85174800.

The previous prime is 212937079. The next prime is 212937107. The reversal of 212937100 is 1739212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (212937107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1064586 + ... + 1064785.

Almost surely, 2212937100 is an apocalyptic number.

212937100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212937100 is an abundant number, since it is smaller than the sum of its proper divisors (249136624).

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

212937100 is a wasteful number, since it uses less digits than its factorization.

212937100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129385 (or 2129378 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 212937100 is about 14592.3644417209. The cubic root of 212937100 is about 597.1504698686.

The spelling of 212937100 in words is "two hundred twelve million, nine hundred thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2129371 4258742 8517484 10646855 21293710 42587420 53234275 106468550 212937100