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212170100 = 225215114051
BaseRepresentation
bin11001010010101…
…11010101110100
3112210020100122212
430221113111310
5413303420400
633015312552
75154262502
oct1451272564
9483210585
10212170100
11a984559a
125b07b758
1334c5884c
142026d672
1513960335
hexca57574

212170100 has 36 divisors (see below), whose sum is σ = 463491168. Its totient is φ = 84300000.

The previous prime is 212170073. The next prime is 212170129. The reversal of 212170100 is 1071212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8075 + ... + 22125.

Almost surely, 2212170100 is an apocalyptic number.

212170100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212170100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231745584).

212170100 is an abundant number, since it is smaller than the sum of its proper divisors (251321068).

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

212170100 is a wasteful number, since it uses less digits than its factorization.

212170100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14216 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 212170100 is about 14566.0598653170. The cubic root of 212170100 is about 596.4326280951.

The spelling of 212170100 in words is "two hundred twelve million, one hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 14051 15100 28102 56204 70255 140510 281020 351275 702550 1405100 2121701 4243402 8486804 10608505 21217010 42434020 53042525 106085050 212170100