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212021021220100 = 225210378007263881
BaseRepresentation
bin110000001101010011111101…
…101001111001110100000100
31000210201000022111211210020021
4300031103331221321310010
5210242223022413020400
62030533040145144524
762442004361625151
oct6015237551716404
91023630274753207
10212021021220100
1161613679113a24
121b94311702b144
13913c65bab3131
143a4dc2d39b228
15197a2476ee71a
hexc0d4fda79d04

212021021220100 has 72 divisors (see below), whose sum is σ = 464560182439808. Its totient is φ = 83983630982400.

The previous prime is 212021021220061. The next prime is 212021021220181. The reversal of 212021021220100 is 1022120120212.

It is a happy number.

212021021220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803340160 + ... + 803604040.

Almost surely, 2212021021220100 is an apocalyptic number.

212021021220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021021220100 is an abundant number, since it is smaller than the sum of its proper divisors (252539161219708).

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

212021021220100 is a wasteful number, since it uses less digits than its factorization.

212021021220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342005 (or 341998 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212021021220100 its reverse (1022120120212), we get a palindrome (213043141340312).

The spelling of 212021021220100 in words is "two hundred twelve trillion, twenty-one billion, twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 78007 156014 263881 312028 390035 527762 780070 1055524 1319405 1560140 1950175 2638810 3900350 5277620 6597025 7800700 8034721 13194050 16069442 26388100 27179743 32138884 40173605 54359486 80347210 108718972 135898715 160694420 200868025 271797430 401736050 543594860 679493575 803472100 1358987150 2717974300 20584565167 41169130334 82338260668 102922825835 205845651670 411691303340 514614129175 1029228258350 2058456516700 2120210212201 4240420424402 8480840848804 10601051061005 21202102122010 42404204244020 53005255305025 106010510610050 212021021220100