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131330203131000 = 23353113387404729
BaseRepresentation
bin11101110111000110110010…
…000110110001110001111000
3122020000001012122212202201110
4131313012302012301301320
5114203203224000143000
61143152132403320320
736443202601566516
oct3567066206616170
9566001178782643
10131330203131000
113893390a994805
121289080b3800a0
135838500b56b73
1424605b6b4b4b6
15102b2eed6e850
hex7771b21b1c78

131330203131000 has 128 divisors (see below), whose sum is σ = 413376343099200. Its totient is φ = 34711463628800.

The previous prime is 131330203130981. The next prime is 131330203131053. The reversal of 131330203131000 is 131302033131.

It is a super-2 number, since 2×1313302031310002 (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 31 ways as a sum of consecutive naturals, for example, 193363365 + ... + 194041364.

Almost surely, 2131330203131000 is an apocalyptic number.

131330203131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330203131000 is an abundant number, since it is smaller than the sum of its proper divisors (282046139968200).

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

131330203131000 is a wasteful number, since it uses less digits than its factorization.

131330203131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387404866 (or 387404852 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 131330203131000 its reverse (131302033131), we get a palindrome (131461505164131).

The spelling of 131330203131000 in words is "one hundred thirty-one trillion, three hundred thirty billion, two hundred three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 125 150 200 226 250 300 339 375 452 500 565 600 678 750 904 1000 1130 1356 1500 1695 2260 2712 2825 3000 3390 4520 5650 6780 8475 11300 13560 14125 16950 22600 28250 33900 42375 56500 67800 84750 113000 169500 339000 387404729 774809458 1162214187 1549618916 1937023645 2324428374 3099237832 3874047290 4648856748 5811070935 7748094580 9297713496 9685118225 11622141870 15496189160 19370236450 23244283740 29055354675 38740472900 43776734377 46488567480 48425591125 58110709350 77480945800 87553468754 96851182250 116221418700 131330203131 145276773375 175106937508 193702364500 218883671885 232442837400 262660406262 290553546750 350213875016 387404729000 437767343770 525320812524 581107093500 656651015655 875534687540 1050641625048 1094418359425 1162214187000 1313302031310 1751069375080 2188836718850 2626604062620 3283255078275 4377673437700 5253208125240 5472091797125 6566510156550 8755346875400 10944183594250 13133020313100 16416275391375 21888367188500 26266040626200 32832550782750 43776734377000 65665101565500 131330203131000