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220201120212112 = 24134493593365617
BaseRepresentation
bin110010000100010110010001…
…100011001010010010010000
31001212200000120200020220212001
4302010112101203022102100
5212330233343233241422
62100154555331443344
764245002015051104
oct6204262143122220
91055600520226761
10220201120212112
1164187852801516
1220844551756554
1395b3b5199b590
143c53b10a43904
151a6ce0a8c4227
hexc845918ca490

220201120212112 has 80 divisors (see below), whose sum is σ = 460501231503600. Its totient is φ = 101400568528896.

The previous prime is 220201120212097. The next prime is 220201120212131. The reversal of 220201120212112 is 211212021102022.

It can be written as a sum of positive squares in 8 ways, for example, as 22799631810816 + 197401488401296 = 4774896^2 + 14049964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220201120212112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3355821928 + ... + 3355887544.

It is an arithmetic number, because the mean of its divisors is an integer number (5756265393795).

Almost surely, 2220201120212112 is an apocalyptic number.

It is an amenable number.

220201120212112 is an abundant number, since it is smaller than the sum of its proper divisors (240300111291488).

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

220201120212112 is a wasteful number, since it uses less digits than its factorization.

220201120212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102020 (or 102014 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 220201120212112 its reverse (211212021102022), we get a palindrome (431413141314134).

The spelling of 220201120212112 in words is "two hundred twenty trillion, two hundred one billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 449 898 1796 3592 5837 7184 11674 23348 35933 46696 65617 71866 93392 131234 143732 262468 287464 467129 524936 574928 853021 934258 1049872 1706042 1868516 3412084 3737032 6824168 7474064 13648336 16133917 29462033 32267834 58924066 64535668 117848132 129071336 209740921 235696264 258142672 383006429 419481842 471392528 766012858 838963684 1532025716 1677927368 2357815661 3064051432 3355854736 4715631322 6128102864 9431262644 18862525288 30651603593 37725050576 61303207186 122606414372 245212828744 490425657488 1058659231789 2117318463578 4234636927156 8469273854312 13762570013257 16938547708624 27525140026514 55050280053028 110100560106056 220201120212112