Search a number
-
+
131102130110120 = 23513317971819083
BaseRepresentation
bin11101110011110010010111…
…111001001111111010101000
3122012012020111212020212020222
4131303302113321033322220
5114140434130302010440
61142455253115105212
736420550000110551
oct3563622771177250
9565166455225228
10131102130110120
1138856112692504
121285457a142208
13581cb54761440
14245353c50d328
15102540205d2b5
hex773c97e4fea8

131102130110120 has 128 divisors (see below), whose sum is σ = 319001240960640. Its totient is φ = 48204482810880.

The previous prime is 131102130110111. The next prime is 131102130110123. The reversal of 131102130110120 is 21011031201131.

It is not an unprimeable number, because it can be changed into a prime (131102130110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159650099 + ... + 160469181.

It is an arithmetic number, because the mean of its divisors is an integer number (2492197195005).

Almost surely, 2131102130110120 is an apocalyptic number.

131102130110120 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 131102130110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159500620480320).

131102130110120 is an abundant number, since it is smaller than the sum of its proper divisors (187899110850520).

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

131102130110120 is a wasteful number, since it uses less digits than its factorization.

131102130110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820395 (or 820391 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131102130110120 its reverse (21011031201131), we get a palindrome (152113161311251).

The spelling of 131102130110120 in words is "one hundred thirty-one trillion, one hundred two billion, one hundred thirty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 317 520 634 971 1268 1585 1942 2536 3170 3884 4121 4855 6340 7768 8242 9710 12623 12680 16484 19420 20605 25246 32968 38840 41210 50492 63115 82420 100984 126230 164840 252460 307807 504920 615614 819083 1231228 1539035 1638166 2462456 3078070 3276332 4001491 4095415 6156140 6552664 8002982 8190830 10648079 12312280 16005964 16381660 20007455 21296158 32011928 32763320 40014910 42592316 53240395 80029820 85184632 106480790 160059640 212961580 259649311 425923160 519298622 795329593 1038597244 1298246555 1590659186 2077194488 2596493110 3181318372 3375441043 3976647965 5192986220 6362636744 6750882086 7953295930 10339284709 10385972440 13501764172 15906591860 16877205215 20678569418 27003528344 31813183720 33754410430 41357138836 51696423545 67508820860 82714277672 103392847090 135017641720 206785694180 252119480981 413571388360 504238961962 1008477923924 1260597404905 2016955847848 2521194809810 3277553252753 5042389619620 6555106505506 10084779239240 13110213011012 16387766263765 26220426022024 32775532527530 65551065055060 131102130110120