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210101122120 = 23529181121657
BaseRepresentation
bin1100001110101100000…
…0001011010001001000
3202002022022022212002111
43003223000023101020
511420241341401440
6240304044112104
721115334033431
oct3035300132110
9662268285074
10210101122120
118111567380a
1234876535634
1316a73c53b06
14a251848488
1556ea1594ea
hex30eb00b448

210101122120 has 32 divisors (see below), whose sum is σ = 489028476600. Its totient is φ = 81142501888.

The previous prime is 210101122111. The next prime is 210101122157. The reversal of 210101122120 is 21221101012.

It can be written as a sum of positive squares in 4 ways, for example, as 142396041316 + 67705080804 = 377354^2 + 260202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 210101122120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90559669 + ... + 90561988.

Almost surely, 2210101122120 is an apocalyptic number.

210101122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101122120 is an abundant number, since it is smaller than the sum of its proper divisors (278927354480).

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

210101122120 is a wasteful number, since it uses less digits than its factorization.

210101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181121697 (or 181121693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210101122120 its reverse (21221101012), we get a palindrome (231322223132).

The spelling of 210101122120 in words is "two hundred ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 181121657 362243314 724486628 905608285 1448973256 1811216570 3622433140 5252528053 7244866280 10505056106 21010112212 26262640265 42020224424 52525280530 105050561060 210101122120