Search a number
-
+
131401414123320 = 233511253673924253
BaseRepresentation
bin11101111000001001000110…
…100111001001111100111000
3122020020212000110220222202110
4131320021012213021330320
5114210340044003421240
61143244550514132320
736451303352206155
oct3570110647117470
9566225013828673
10131401414123320
1138961032710280
12128a25838810a0
13584213c144103
142463c1051522c
15102d0bb93cc80
hex7782469c9f38

131401414123320 has 128 divisors (see below), whose sum is σ = 430058054039040. Its totient is φ = 31853624394240.

The previous prime is 131401414123277. The next prime is 131401414123339. The reversal of 131401414123320 is 23321414104131.

131401414123320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31522314 + ... + 35446566.

It is an arithmetic number, because the mean of its divisors is an integer number (3359828547180).

Almost surely, 2131401414123320 is an apocalyptic number.

131401414123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131401414123320 is an abundant number, since it is smaller than the sum of its proper divisors (298656639915720).

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

131401414123320 is a wasteful number, since it uses less digits than its factorization.

131401414123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949645 (or 3949641 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131401414123320 its reverse (23321414104131), we get a palindrome (154722828227451).

The spelling of 131401414123320 in words is "one hundred thirty-one trillion, four hundred one billion, four hundred fourteen million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 25367 50734 76101 101468 126835 152202 202936 253670 279037 304404 380505 507340 558074 608808 761010 837111 1014680 1116148 1395185 1522020 1674222 2232296 2790370 3044040 3348444 3924253 4185555 5580740 6696888 7848506 8371110 11161480 11772759 15697012 16742220 19621265 23545518 31394024 33484440 39242530 43166783 47091036 58863795 78485060 86333566 94182072 117727590 129500349 156970120 172667132 215833915 235455180 259000698 345334264 431667830 470910360 518001396 647501745 863335660 1036002792 1295003490 1726671320 2590006980 5180013960 99546525851 199093051702 298639577553 398186103404 497732629255 597279155106 796372206808 995465258510 1095011784361 1194558310212 1493197887765 1990930517020 2190023568722 2389116620424 2986395775530 3285035353083 3981861034040 4380047137444 5475058921805 5972791551060 6570070706166 8760094274888 10950117843610 11945583102120 13140141412332 16425176765415 21900235687220 26280282824664 32850353530830 43800471374440 65700707061660 131401414123320