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212310141013212 = 223112373951867713
BaseRepresentation
bin110000010001100001001110…
…100010011000110011011100
31000211201122120202202000222220
4300101201032202120303130
5210311442132044410322
62031313533213505340
762501621133414654
oct6021411642306334
91024648522660886
10212310141013212
1161715252762800
121b98b1647a2250
1391609b676b0a8
143a5dc194d3364
151982a19ad355c
hexc1184e898cdc

212310141013212 has 72 divisors (see below), whose sum is σ = 559236703943568. Its totient is φ = 62597584558080.

The previous prime is 212310141013211. The next prime is 212310141013247.

212310141013212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212310141013211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1975880133 + ... + 1975987580.

Almost surely, 2212310141013212 is an apocalyptic number.

212310141013212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212310141013212 is an abundant number, since it is smaller than the sum of its proper divisors (346926562930356).

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

212310141013212 is a wasteful number, since it uses less digits than its factorization.

212310141013212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951867779 (or 3951867766 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 212310141013212 in words is "two hundred twelve trillion, three hundred ten billion, one hundred forty-one million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 26862 53724 3951867713 7903735426 11855603139 15807470852 23711206278 43470544843 47422412556 86941089686 130411634529 146219105381 173882179372 260823269058 292438210762 438657316143 478175993273 521646538116 584876421524 877314632286 956351986546 1434527979819 1608410159191 1754629264572 1912703973092 2869055959638 3216820318382 4825230477573 5738111919276 6433640636764 9650460955146 17692511751101 19300921910292 35385023502202 53077535253303 70770047004404 106155070506606 212310141013212