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131042123410320 = 2434520222549909
BaseRepresentation
bin11101110010111010011111…
…001101110110101110010000
3122011222111121220001200010000
4131302322133031312232100
5114133443232043112240
61142411530451210000
736413323656430113
oct3562723715665620
9564874556050100
10131042123410320
113883271a449821
1212844a11ba6900
1358172b07c9895
142450688bd457a
151023a8de35430
hex772e9f376b90

131042123410320 has 100 divisors (see below), whose sum is σ = 455128708274460. Its totient is φ = 34944566241024.

The previous prime is 131042123410301. The next prime is 131042123410349. The reversal of 131042123410320 is 23014321240131.

131042123410320 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 212 + 3 + 410 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81043421817744 + 49998701592576 = 9002412^2 + 7070976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10111268475 + ... + 10111281434.

Almost surely, 2131042123410320 is an apocalyptic number.

131042123410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131042123410320 is an abundant number, since it is smaller than the sum of its proper divisors (324086584864140).

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

131042123410320 is a wasteful number, since it uses less digits than its factorization.

131042123410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20222549934 (or 20222549919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131042123410320 its reverse (23014321240131), we get a palindrome (154056444650451).

The spelling of 131042123410320 in words is "one hundred thirty-one trillion, forty-two billion, one hundred twenty-three million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20222549909 40445099818 60667649727 80890199636 101112749545 121335299454 161780399272 182002949181 202225499090 242670598908 303338248635 323560798544 364005898362 404450998180 485341197816 546008847543 606676497270 728011796724 808901996360 910014745905 970682395632 1092017695086 1213352994540 1456023593448 1617803992720 1638026542629 1820029491810 2184035390172 2426705989080 2730044237715 2912047186896 3276053085258 3640058983620 4368070780344 4853411978160 5460088475430 6552106170516 7280117967240 8190132713145 8736141560688 10920176950860 13104212341032 14560235934480 16380265426290 21840353901720 26208424682064 32760530852580 43680707803440 65521061705160 131042123410320