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212112020210202 = 23374997731454767
BaseRepresentation
bin110000001110101000101101…
…100111100000001000011010
31000211000201012101111110011000
4300032220231213200020122
5210300220404133211302
62031042530013245430
762451405411365250
oct6016505547401032
91024021171443130
10212112020210202
1161649225729072
121b958892493876
13914810187a9c8
143a543c2c225d0
15197c7c160d31c
hexc0ea2d9e021a

212112020210202 has 128 divisors (see below), whose sum is σ = 540475407360000. Its totient is φ = 60403699867968.

The previous prime is 212112020210147. The next prime is 212112020210213. The reversal of 212112020210202 is 202012020211212.

It is a happy number.

212112020210202 is a `hidden beast` number, since 2 + 1 + 211 + 20 + 20 + 210 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145077423 + ... + 146532189.

It is an arithmetic number, because the mean of its divisors is an integer number (4222464120000).

Almost surely, 2212112020210202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112020210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270237703680000).

212112020210202 is an abundant number, since it is smaller than the sum of its proper divisors (328363387149798).

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

212112020210202 is a wasteful number, since it uses less digits than its factorization.

212112020210202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456057 (or 1456051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212112020210202 its reverse (202012020211212), we get a palindrome (414124040421414).

The spelling of 212112020210202 in words is "two hundred twelve trillion, one hundred twelve billion, twenty million, two hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 499 773 998 1497 1546 2319 2994 3493 4491 4638 5411 6957 6986 8982 10479 10822 13473 13914 16233 20871 20958 26946 31437 32466 41742 48699 62874 94311 97398 146097 188622 292194 385727 771454 1157181 1454767 2314362 2700089 2909534 3471543 4364301 5400178 6943086 8100267 8728602 10183369 10414629 13092903 16200534 20366738 20829258 24300801 26185806 30550107 39278709 48601602 61100214 72902403 78557418 91650321 145804806 183300642 274950963 549901926 725928733 1124534891 1451857466 2177786199 2249069782 3373604673 4355572398 5081501131 6533358597 6747209346 7871744237 10120814019 10163002262 13066717194 15244503393 15743488474 19600075791 20241628038 23615232711 30362442057 30489006786 39200151582 45733510179 47230465422 60724884114 70845698133 91467020358 137200530537 141691396266 212537094399 274401061074 425074188798 561142910609 1122285821218 1683428731827 3366857463654 3928000374263 5050286195481 7856000748526 10100572390962 11784001122789 15150858586443 23568002245578 30301717172886 35352003368367 70704006736734 106056010105101 212112020210202