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213714100 = 22522137141
BaseRepresentation
bin11001011110100…
…00010010110100
3112220010210122001
430233100102310
5414202322400
633112345044
75203353115
oct1457202264
9486123561
10213714100
11aa6aa626
125b6a5184
1335379562
142055220c
1513b67a6a
hexcbd04b4

213714100 has 18 divisors (see below), whose sum is σ = 463759814. Its totient is φ = 85485600.

The previous prime is 213714097. The next prime is 213714101. The reversal of 213714100 is 1417312.

213714100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 48385936 + 165328164 = 6956^2 + 12858^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213714101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1068471 + ... + 1068670.

Almost surely, 2213714100 is an apocalyptic number.

213714100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213714100 is an abundant number, since it is smaller than the sum of its proper divisors (250045714).

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

213714100 is a wasteful number, since it uses less digits than its factorization.

213714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137155 (or 2137148 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 213714100 is about 14618.9637115631. The cubic root of 213714100 is about 597.8759152392.

The spelling of 213714100 in words is "two hundred thirteen million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2137141 4274282 8548564 10685705 21371410 42742820 53428525 106857050 213714100