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232132023113100 = 2235211531327227119
BaseRepresentation
bin110100110001111101110010…
…110001110101010110001100
31010102220121022210221201002020
4310301331302301311112030
5220411222340404104400
62141411551303130140
766615661634324265
oct6461756261652614
91112817283851066
10232132023113100
1167a67702418110
12220508a8a43950
139c6ac57014756
14414736d8bd96c
151bc84475d52a0
hexd31f72c7558c

232132023113100 has 144 divisors (see below), whose sum is σ = 746517474823680. Its totient is φ = 55212648108800.

The previous prime is 232132023113027. The next prime is 232132023113117. The reversal of 232132023113100 is 1311320231232.

It is a super-2 number, since 2×2321320231131002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663438660 + ... + 663788459.

It is an arithmetic number, because the mean of its divisors is an integer number (5184149130720).

Almost surely, 2232132023113100 is an apocalyptic number.

232132023113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232132023113100 is an abundant number, since it is smaller than the sum of its proper divisors (514385451710580).

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

232132023113100 is a wasteful number, since it uses less digits than its factorization.

232132023113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327227200 (or 1327227193 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 232132023113100 its reverse (1311320231232), we get a palindrome (233443343344332).

The spelling of 232132023113100 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, twenty-three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 53 55 60 66 75 100 106 110 132 150 159 165 212 220 265 275 300 318 330 530 550 583 636 660 795 825 1060 1100 1166 1325 1590 1650 1749 2332 2650 2915 3180 3300 3498 3975 5300 5830 6996 7950 8745 11660 14575 15900 17490 29150 34980 43725 58300 87450 174900 1327227119 2654454238 3981681357 5308908476 6636135595 7963362714 13272271190 14599498309 15926725428 19908406785 26544542380 29198996618 33180677975 39816813570 43798494927 58397993236 66361355950 70343037307 72997491545 79633627140 87596989854 99542033925 132722711900 140686074614 145994983090 175193979708 199084067850 211029111921 218992474635 281372149228 291989966180 351715186535 364987457725 398168135700 422058223842 437984949270 703430373070 729974915450 773773410377 844116447684 875969898540 1055145559605 1094962373175 1406860746140 1459949830900 1547546820754 1758575932675 2110291119210 2189924746350 2321320231131 3095093641508 3517151865350 3868867051885 4220582238420 4379849492700 4642640462262 5275727798025 7034303730700 7737734103770 9285280924524 10551455596050 11606601155655 15475468207540 19344335259425 21102911192100 23213202311310 38688670518850 46426404622620 58033005778275 77377341037700 116066011556550 232132023113100