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211021012222120 = 23531293580813091
BaseRepresentation
bin101111111110110000101000…
…011110010100000010101000
31000200011102010011111012211201
4233332300220132110002220
5210124332013112101440
62024445414213533544
762306523254452012
oct5776605036240250
91020142104435751
10211021012222120
1161268566102791
121b8013520442b4
1390992719b6b59
143a17685a911b2
15195e21a2ac19a
hexbfec287940a8

211021012222120 has 64 divisors (see below), whose sum is σ = 491786061258240. Its totient is φ = 81406762694400.

The previous prime is 211021012222087. The next prime is 211021012222157. The reversal of 211021012222120 is 21222210120112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290043226 + ... + 290769865.

It is an arithmetic number, because the mean of its divisors is an integer number (7684157207160).

Almost surely, 2211021012222120 is an apocalyptic number.

211021012222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021012222120 is an abundant number, since it is smaller than the sum of its proper divisors (280765049036120).

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

211021012222120 is a wasteful number, since it uses less digits than its factorization.

211021012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580813426 (or 580813422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211021012222120 its reverse (21222210120112), we get a palindrome (232243222342232).

The spelling of 211021012222120 in words is "two hundred eleven trillion, twenty-one billion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 293 310 586 620 1172 1240 1465 2344 2930 5860 9083 11720 18166 36332 45415 72664 90830 181660 363320 580813091 1161626182 2323252364 2904065455 4646504728 5808130910 11616261820 18005205821 23232523640 36010411642 72020823284 90026029105 144041646568 170178235663 180052058210 340356471326 360104116420 680712942652 720208232840 850891178315 1361425885304 1701782356630 3403564713260 5275525305553 6807129426520 10551050611106 21102101222212 26377626527765 42204202444424 52755253055530 105510506111060 211021012222120