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131142130401320 = 23520892237701581
BaseRepresentation
bin11101110100010111101000…
…000110010000000000101000
3122012100001202112212012012122
4131310113220012100000220
5114142113040340320240
61142525510224130412
736423464150013413
oct3564275006200050
9565301675765178
10131142130401320
113887107981a305
1212860282166a08
13582385a8b63bc
142455454b54b7a
151026493aa14b5
hex7745e8190028

131142130401320 has 64 divisors (see below), whose sum is σ = 295343431059600. Its totient is φ = 52408228055040.

The previous prime is 131142130401259. The next prime is 131142130401349. The reversal of 131142130401320 is 23104031241131.

It can be written as a sum of positive squares in 8 ways, for example, as 127484558300836 + 3657572100484 = 11290906^2 + 1912478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131142130401320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186572930 + ... + 187274510.

Almost surely, 2131142130401320 is an apocalyptic number.

131142130401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142130401320 is an abundant number, since it is smaller than the sum of its proper divisors (164201300658280).

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

131142130401320 is a wasteful number, since it uses less digits than its factorization.

131142130401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705918 (or 705914 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131142130401320 its reverse (23104031241131), we get a palindrome (154246161642451).

The spelling of 131142130401320 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2089 2237 4178 4474 8356 8948 10445 11185 16712 17896 20890 22370 41780 44740 83560 89480 701581 1403162 2806324 3507905 4673093 5612648 7015810 9346186 14031620 18692372 23365465 28063240 37384744 46730930 93461860 186923720 1465602709 1569436697 2931205418 3138873394 5862410836 6277746788 7328013545 7847183485 11724821672 12555493576 14656027090 15694366970 29312054180 31388733940 58624108360 62777467880 3278553260033 6557106520066 13114213040132 16392766300165 26228426080264 32785532600330 65571065200660 131142130401320