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201441131202213 = 33731277224355337
BaseRepresentation
bin101101110011010110101011…
…000100011000011010100101
3222102020120202210020102021000
4231303112223010120122211
5202400402414041432323
61552232440024343513
760300433006365150
oct5563265304303245
9872216683212230
10201441131202213
1159204782005641
121a714783314b99
138852a81402216
1437a5b34b3cc97
151844e2d181e43
hexb735ab1186a5

201441131202213 has 128 divisors (see below), whose sum is σ = 353501339811840. Its totient is φ = 110942376122880.

The previous prime is 201441131202211. The next prime is 201441131202247. The reversal of 201441131202213 is 312202131144102.

201441131202213 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 411 + 3 + 1 + 20 + 221 + 3 = 666.

201441131202213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201441131202213 - 21 = 201441131202211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201441131202211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3640233481 + ... + 3640288817.

It is an arithmetic number, because the mean of its divisors is an integer number (2761729217280).

Almost surely, 2201441131202213 is an apocalyptic number.

It is an amenable number.

201441131202213 is a deficient number, since it is larger than the sum of its proper divisors (152060208609627).

201441131202213 is a wasteful number, since it uses less digits than its factorization.

201441131202213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57904 (or 57898 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 201441131202213 its reverse (312202131144102), we get a palindrome (513643262346315).

The spelling of 201441131202213 in words is "two hundred one trillion, four hundred forty-one billion, one hundred thirty-one million, two hundred two thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 277 279 651 831 837 1939 1953 2243 2493 5817 5859 6729 7479 8587 15701 17451 20187 25761 47103 52353 55337 60109 60561 69533 77283 141309 166011 180327 208599 231849 387359 423927 486731 498033 540981 621311 625797 1162077 1460193 1494099 1622943 1715447 1863933 1877391 3486231 4349177 4380579 5146341 5591799 10458693 12008129 13047531 13141737 15328349 15439023 16775397 19260641 36024387 39142593 45985047 46317069 57781923 107298443 108073161 117427779 124120891 134824487 137955141 173345769 321895329 324219483 372362673 404473461 413865423 475178819 520037307 868846237 965685987 1117088019 1213420383 1425536457 2606538711 2897057961 3326251733 3351264057 3640261149 3847747621 4276609371 7819616133 9978755199 11543242863 12829828113 23458848399 26934233347 29936265597 34381486807 34629728589 80802700041 89808796791 103144460421 103889185767 240670407649 242408100123 309433381263 722011222947 727224300369 928300143789 1065826091017 2166033668841 3197478273051 6498101006523 7460782637119 9592434819153 22382347911357 28777304457459 67147043734071 201441131202213