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131056255000 = 23541113717393
BaseRepresentation
bin111101000001110001…
…1111100000000011000
3110112021112110120002101
41322003203330000120
54121400400130000
6140112330213144
712316460533666
oct1720343740030
9415245416071
10131056255000
1150642926150
12214965841b4
13c48797a1a8
1464b389bc36
153620957e6a
hex1e838fc018

131056255000 has 160 divisors (see below), whose sum is σ = 337444295760. Its totient is φ = 47306240000.

The previous prime is 131056254997. The next prime is 131056255009. The reversal of 131056255000 is 552650131.

It is a self number, because there is not a number n which added to its sum of digits gives 131056255000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131056255009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7526304 + ... + 7543696.

Almost surely, 2131056255000 is an apocalyptic number.

131056255000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131056255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168722147880).

131056255000 is an abundant number, since it is smaller than the sum of its proper divisors (206388040760).

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

131056255000 is a wasteful number, since it uses less digits than its factorization.

131056255000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17567 (or 17548 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 131056255000 in words is "one hundred thirty-one billion, fifty-six million, two hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 137 200 220 250 274 275 440 500 548 550 625 685 1000 1096 1100 1250 1370 1375 1507 2200 2500 2740 2750 3014 3425 5000 5480 5500 6028 6850 6875 7535 11000 12056 13700 13750 15070 17125 17393 27400 27500 30140 34250 34786 37675 55000 60280 68500 69572 75350 85625 86965 137000 139144 150700 171250 173930 188375 191323 301400 342500 347860 376750 382646 434825 685000 695720 753500 765292 869650 941875 956615 1507000 1530584 1739300 1883750 1913230 2174125 2382841 3478600 3767500 3826460 4348250 4765682 4783075 7535000 7652920 8696500 9531364 9566150 10870625 11914205 17393000 19062728 19132300 21741250 23828410 23915375 26211251 38264600 43482500 47656820 47830750 52422502 59571025 86965000 95313640 95661500 104845004 119142050 119576875 131056255 191323000 209690008 238284100 239153750 262112510 297855125 476568200 478307500 524225020 595710250 655281275 956615000 1048450040 1191420500 1310562550 1489275625 2382841000 2621125100 2978551250 3276406375 5242250200 5957102500 6552812750 11914205000 13105625500 16382031875 26211251000 32764063750 65528127500 131056255000