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41131100104204 = 221119185921112699
BaseRepresentation
bin10010101101000100101001…
…00111000110011000001100
312101122002120002022202200111
421112202110213012120030
520342342443111313304
6223251211101005404
711443424001226015
oct1126422447063014
9171562502282614
1041131100104204
11121186687a5720
124743596253864
1319c4852624056
14a22a8215600c
154b4daab9d704
hex2568949c660c

41131100104204 has 96 divisors (see below), whose sum is σ = 79092744192000. Its totient is φ = 18560739912000.

The previous prime is 41131100104201. The next prime is 41131100104207. The reversal of 41131100104204 is 40240100113114.

It is an interprime number because it is at equal distance from previous prime (41131100104201) and next prime (41131100104207).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (41131100104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15239383647 + ... + 15239386345.

It is an arithmetic number, because the mean of its divisors is an integer number (823882752000).

Almost surely, 241131100104204 is an apocalyptic number.

41131100104204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41131100104204 is a deficient number, since it is larger than the sum of its proper divisors (37961644087796).

41131100104204 is a wasteful number, since it uses less digits than its factorization.

41131100104204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 41131100104204 its reverse (40240100113114), we get a palindrome (81371200217318).

The spelling of 41131100104204 in words is "forty-one trillion, one hundred thirty-one billion, one hundred million, one hundred four thousand, two hundred four".

Divisors: 1 2 4 11 22 44 191 382 764 859 1718 2101 2111 2699 3436 4202 4222 5398 8404 8444 9449 10796 18898 23221 29689 37796 46442 59378 92884 118756 164069 328138 403201 515509 656276 806402 1031018 1612804 1804759 1813349 2062036 2318441 3609518 3626698 4435211 4636882 5670599 5697589 7219036 7253396 8870422 9273764 11341198 11395178 17740844 19946839 22682396 22790356 25502851 39893678 51005702 62673479 79787356 102011404 125346958 250693916 346349659 442822231 692699318 885644462 1088239499 1385398636 1771288924 2176478998 3809846249 4352957996 4871044541 4894228951 7619692498 9742089082 9788457902 11970634489 15239384996 19484178164 19576915804 23941268978 47882537956 53836518461 107673036922 215346073844 934797729641 1869595459282 3739190918564 10282775026051 20565550052102 41131100104204