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212201322302310 = 235111952364711111
BaseRepresentation
bin110000001111111011111000…
…011011111100101101100110
31000211100020201000010202121220
4300033323320123330231212
5210303201302002133220
62031151535223121210
762461016404553025
oct6017737033745546
91024306630122556
10212201322302310
11616830913a9680
121b9720555a3206
139153663c13c23
143a5885516c8bc
15197ec9b57c540
hexc0fef86fcb66

212201322302310 has 128 divisors (see below), whose sum is σ = 585941000048640. Its totient is φ = 48642047164800.

The previous prime is 212201322302303. The next prime is 212201322302351. The reversal of 212201322302310 is 13203223102212.

It is a super-2 number, since 2×2122013223023102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29076346 + ... + 35634765.

It is an arithmetic number, because the mean of its divisors is an integer number (4577664062880).

Almost surely, 2212201322302310 is an apocalyptic number.

212201322302310 is an abundant number, since it is smaller than the sum of its proper divisors (373739677746330).

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

212201322302310 is a wasteful number, since it uses less digits than its factorization.

212201322302310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64711674.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212201322302310 its reverse (13203223102212), we get a palindrome (225404545404522).

The spelling of 212201322302310 in words is "two hundred twelve trillion, two hundred one billion, three hundred twenty-two million, three hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 523 570 627 1045 1046 1254 1569 2090 2615 3135 3138 5230 5753 6270 7845 9937 11506 15690 17259 19874 28765 29811 34518 49685 57530 59622 86295 99370 109307 149055 172590 218614 298110 327921 546535 655842 1093070 1639605 3279210 64711111 129422222 194133333 323555555 388266666 647111110 711822221 970666665 1229511109 1423644442 1941333330 2135466663 2459022218 3559111105 3688533327 4270933326 6147555545 7118222210 7377066654 10677333315 12295111090 13524622199 18442666635 21354666630 27049244398 33843911053 36885333270 40573866597 67623110995 67687822106 81147733194 101531733159 135246221990 169219555265 202869332985 203063466318 338439110530 372283021583 405738665970 507658665795 643034310007 744566043166 1015317331590 1116849064749 1286068620014 1861415107915 1929102930021 2233698129498 3215171550035 3722830215830 3858205860042 5584245323745 6430343100070 7073377410077 9645514650105 11168490647490 14146754820154 19291029300210 21220132230231 35366887050385 42440264460462 70733774100770 106100661151155 212201322302310