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212111978917020 = 2235713263686321523
BaseRepresentation
bin110000001110101000101011…
…001001111110110010011100
31000211000201002111210112112220
4300032220223021332302130
5210300220313100321040
62031042521540225340
762451404400403050
oct6016505311766234
91024021074715486
10212111978917020
1161649204394976
121b95888069b250
1391480c6150680
143a543bb553c60
15197c7bcba32d0
hexc0ea2b27ec9c

212111978917020 has 384 divisors, whose sum is σ = 733890877784064. Its totient is φ = 44574564750336.

The previous prime is 212111978916947. The next prime is 212111978917031. The reversal of 212111978917020 is 20719879111212.

212111978917020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9855119979 + ... + 9855141501.

It is an arithmetic number, because the mean of its divisors is an integer number (1911174160896).

Almost surely, 2212111978917020 is an apocalyptic number.

212111978917020 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 212111978917020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366945438892032).

212111978917020 is an abundant number, since it is smaller than the sum of its proper divisors (521778898867044).

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

212111978917020 is a wasteful number, since it uses less digits than its factorization.

212111978917020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28681 (or 28679 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 51.

The spelling of 212111978917020 in words is "two hundred twelve trillion, one hundred eleven billion, nine hundred seventy-eight million, nine hundred seventeen thousand, twenty".