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131044404013020 = 223256750921347813
BaseRepresentation
bin11101110010111100100111…
…001001101010011111011100
3122011222201111211102021212200
4131302330213021222133130
5114134012414411404040
61142412545040331500
736413434331302431
oct3562744711523734
9564881454367780
10131044404013020
113883368a821343
1212845349913b90
13581758513ca34
142450823a53b88
151023b74274630
hex772f2726a7dc

131044404013020 has 144 divisors (see below), whose sum is σ = 404226835477920. Its totient is φ = 34355973155328.

The previous prime is 131044404013013. The next prime is 131044404013031. The reversal of 131044404013020 is 20310404440131.

131044404013020 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 404 + 0 + 130 + 20 = 666.

It is a super-2 number, since 2×1310444040130202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4535367 + ... + 16812446.

It is an arithmetic number, because the mean of its divisors is an integer number (2807130801930).

Almost surely, 2131044404013020 is an apocalyptic number.

131044404013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131044404013020 is an abundant number, since it is smaller than the sum of its proper divisors (273182431464900).

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

131044404013020 is a wasteful number, since it uses less digits than its factorization.

131044404013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21348404 (or 21348399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131044404013020 its reverse (20310404440131), we get a palindrome (151354808453151).

The spelling of 131044404013020 in words is "one hundred thirty-one trillion, forty-four billion, four hundred four million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 509 603 670 804 1005 1018 1206 1340 1527 2010 2036 2412 2545 3015 3054 4020 4581 5090 6030 6108 7635 9162 10180 12060 15270 18324 22905 30540 34103 45810 68206 91620 102309 136412 170515 204618 306927 341030 409236 511545 613854 682060 1023090 1227708 1534635 2046180 3069270 6138540 21347813 42695626 64043439 85391252 106739065 128086878 192130317 213478130 256173756 320217195 384260634 426956260 640434390 768521268 960651585 1280868780 1430303471 1921303170 2860606942 3842606340 4290910413 5721213884 7151517355 8581820826 10866036817 12872731239 14303034710 17163641652 21454552065 21732073634 25745462478 28606069420 32598110451 42909104130 43464147268 51490924956 54330184085 64363656195 65196220902 85818208260 97794331353 108660368170 128727312390 130392441804 162990552255 195588662706 217320736340 257454624780 325981104510 391177325412 488971656765 651962209020 728024466739 977943313530 1456048933478 1955886627060 2184073400217 2912097866956 3640122333695 4368146800434 6552220200651 7280244667390 8736293600868 10920367001085 13104440401302 14560489334780 21840734002170 26208880802604 32761101003255 43681468004340 65522202006510 131044404013020