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213381174204 = 223511193121093
BaseRepresentation
bin1100011010111010000…
…0100101001110111100
3202101202220022202200000
43012232200211032330
511444001040033304
6242005335034300
721262533024462
oct3065640451674
9671686282600
10213381174204
1182549123460
1235430b0b990
1317177670633
14a483310832
15583d0bb939
hex31ae8253bc

213381174204 has 432 divisors, whose sum is σ = 664319859840. Its totient is φ = 59227459200.

The previous prime is 213381174199. The next prime is 213381174241. The reversal of 213381174204 is 402471183312.

213381174204 is a `hidden beast` number, since 2 + 1 + 3 + 381 + 1 + 74 + 204 = 666.

213381174204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195224682 + ... + 195225774.

Almost surely, 2213381174204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213381174204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332159929920).

213381174204 is an abundant number, since it is smaller than the sum of its proper divisors (450938685636).

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

213381174204 is a wasteful number, since it uses less digits than its factorization.

213381174204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 213381174204 in words is "two hundred thirteen billion, three hundred eighty-one million, one hundred seventy-four thousand, two hundred four".