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212152100 = 225219111659
BaseRepresentation
bin11001010010100…
…10111100100100
3112210012102222012
430221102330210
5413302331400
633015053352
75154156146
oct1451227444
9483172865
10212152100
11a9833016
125b071258
1334c505b4
1420266c96
1513959d35
hexca52f24

212152100 has 36 divisors (see below), whose sum is σ = 484604400. Its totient is φ = 80393760.

The previous prime is 212152099. The next prime is 212152159. The reversal of 212152100 is 1251212.

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 11 ways as a sum of consecutive naturals, for example, 53930 + ... + 57729.

Almost surely, 2212152100 is an apocalyptic number.

212152100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212152100 is an abundant number, since it is smaller than the sum of its proper divisors (272452300).

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

212152100 is a wasteful number, since it uses less digits than its factorization.

212152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111692 (or 111685 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 212152100 is about 14565.4419775028. The cubic root of 212152100 is about 596.4157609825.

The spelling of 212152100 in words is "two hundred twelve million, one hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 111659 223318 446636 558295 1116590 2121521 2233180 2791475 4243042 5582950 8486084 10607605 11165900 21215210 42430420 53038025 106076050 212152100