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131221032014400 = 2635227337715003
BaseRepresentation
bin11101110101100001000111…
…000000000001001001000000
3122012121121102100011102121120
4131311201013000001021000
5114144411133143430100
61143030035423352240
736432256333450656
oct3565410700011100
9565547370142546
10131221032014400
11388a1588712aa9
1212873622152680
13582b1232b3813
1424591bba90dd6
1510285609070a0
hex775847001240

131221032014400 has 84 divisors (see below), whose sum is σ = 430514335882992. Its totient is φ = 34992275202560.

The previous prime is 131221032014389. The next prime is 131221032014411. The reversal of 131221032014400 is 4410230122131.

It is an interprime number because it is at equal distance from previous prime (131221032014389) and next prime (131221032014411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13668852702 + ... + 13668862301.

Almost surely, 2131221032014400 is an apocalyptic number.

131221032014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221032014400 is an abundant number, since it is smaller than the sum of its proper divisors (299293303868592).

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

131221032014400 is a wasteful number, since it uses less digits than its factorization.

131221032014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27337715028 (or 27337715013 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131221032014400 its reverse (4410230122131), we get a palindrome (135631262136531).

The spelling of 131221032014400 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, thirty-two million, fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 27337715003 54675430006 82013145009 109350860012 136688575015 164026290018 218701720024 273377150030 328052580036 410065725045 437403440048 546754300060 656105160072 683442875075 820131450090 874806880096 1093508600120 1312210320144 1366885750150 1640262900180 1749613760192 2050328625225 2187017200240 2624420640288 2733771500300 3280525800360 4100657250450 4374034400480 5248841280576 5467543000600 6561051600720 8201314500900 8748068800960 10935086001200 13122103201440 16402629001800 21870172002400 26244206402880 32805258003600 43740344004800 65610516007200 131221032014400