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212212311013295 = 543113131400316657
BaseRepresentation
bin110000010000000110000111…
…011010100011011110101111
31000211101022001211100010020122
4300100012013122203132233
5210303341303104411140
62031200553445235155
762461555616220215
oct6020060732433657
91024338054303218
10212212311013295
11616878102268aa
121b974201702abb
1391546c56b8088
143a591b8740cb5
1519801e113bab5
hexc101876a37af

212212311013295 has 64 divisors (see below), whose sum is σ = 264971787784704. Its totient is φ = 163049117736960.

The previous prime is 212212311013291. The next prime is 212212311013321. The reversal of 212212311013295 is 592310113212212.

It is not a de Polignac number, because 212212311013295 - 22 = 212212311013291 is a prime.

It is a super-4 number, since 4×2122123110132954 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212311013291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12740119607 + ... + 12740136263.

It is an arithmetic number, because the mean of its divisors is an integer number (4140184184136).

Almost surely, 2212212311013295 is an apocalyptic number.

212212311013295 is a deficient number, since it is larger than the sum of its proper divisors (52759476771409).

212212311013295 is a wasteful number, since it uses less digits than its factorization.

212212311013295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 212212311013295 in words is "two hundred twelve trillion, two hundred twelve billion, three hundred eleven million, thirteen thousand, two hundred ninety-five".

Divisors: 1 5 43 113 131 215 565 655 4003 4859 5633 14803 16657 20015 24295 28165 74015 83285 172129 452339 524393 636529 716251 860645 1882241 2182067 2261695 2621965 3182645 3581255 9411205 10910335 19450577 22548899 59256409 66677971 80936363 93828881 97252885 112744495 246573571 296282045 333389855 404681815 469144405 1232867855 2548025587 2867152753 7534610723 8734814201 10602663553 12740127935 14335763765 37673053615 43674071005 53013317765 323988261089 375597010643 987034004713 1619941305445 1877985053215 4935170023565 42442462202659 212212311013295