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212112100202002 = 271113235345386179
BaseRepresentation
bin110000001110101000110010…
…011000101001011000010010
31000211000201101222000110021021
4300032220302120221120102
5210300221040122431002
62031042541551550054
762451410402325430
oct6016506230513022
91024021358013237
10212112100202002
11616492668a40a0
121b9588b522b32a
139148115307430
143a543cd6c5d50
15197c7c865e737
hexc0ea32629612

212112100202002 has 128 divisors (see below), whose sum is σ = 445777828392960. Its totient is φ = 72965161463040.

The previous prime is 212112100201993. The next prime is 212112100202017. The reversal of 212112100202002 is 200202001211212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2461253749 + ... + 2461339927.

It is an arithmetic number, because the mean of its divisors is an integer number (3482639284320).

Almost surely, 2212112100202002 is an apocalyptic number.

212112100202002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212112100202002 is an abundant number, since it is smaller than the sum of its proper divisors (233665728190958).

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

212112100202002 is a wasteful number, since it uses less digits than its factorization.

212112100202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139688.

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

Adding to 212112100202002 its reverse (200202001211212), we get a palindrome (412314101413214).

The spelling of 212112100202002 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred million, two hundred two thousand, two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 253 286 299 322 506 598 1001 1771 2002 2093 3289 3542 4186 6578 23023 46046 53453 86179 106906 172358 374171 587983 603253 694889 748342 947969 1120327 1175966 1206506 1229419 1389778 1895938 1982117 2240654 2458838 3964234 4115881 4864223 6635783 7643779 7842289 8231762 8605933 9728446 12323597 13271566 13523609 13874819 15287558 15684578 15982447 17211866 21803287 24647194 25767521 27047218 27749638 31964894 43606574 51535042 53506453 86265179 94665263 107012906 111877129 152623009 172530358 175806917 180372647 189330526 223754258 283442731 305246018 351613834 360745294 566885462 1230648419 1984099117 2461296838 3968198234 4606526087 9213052174 32245682609 50671786957 59884839131 64491365218 101343573914 105950100001 119769678262 211900200002 354702508699 419193873917 658733230441 709405017398 741650700007 838387747834 1165451100011 1317466460882 1377351300013 1483301400014 2330902200022 2754702600026 4611132613087 8158157700077 9222265226174 9641459100091 15150864300143 16316315400154 19282918200182 30301728600286 106056050101001 212112100202002