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214140919100 = 22525340403947
BaseRepresentation
bin1100011101101111001…
…0110001110100111100
3202110201211220210201212
43013123302301310330
512002030033402400
6242212555023552
721320416531253
oct3073362616474
9673654823655
10214140919100
11828a8a69aa9
123560343abb8
1317268b9a824
14a51619b79a
155884b41335
hex31dbcb1d3c

214140919100 has 36 divisors (see below), whose sum is σ = 473453462664. Its totient is φ = 84040207680.

The previous prime is 214140919061. The next prime is 214140919123. The reversal of 214140919100 is 1919041412.

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, 20196674 + ... + 20207273.

It is an arithmetic number, because the mean of its divisors is an integer number (13151485074).

Almost surely, 2214140919100 is an apocalyptic number.

214140919100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214140919100 is an abundant number, since it is smaller than the sum of its proper divisors (259312543564).

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

214140919100 is a wasteful number, since it uses less digits than its factorization.

214140919100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40404014 (or 40404007 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 214140919100 in words is "two hundred fourteen billion, one hundred forty million, nine hundred nineteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 40403947 80807894 161615788 202019735 404039470 808078940 1010098675 2020197350 2141409191 4040394700 4282818382 8565636764 10707045955 21414091910 42828183820 53535229775 107070459550 214140919100