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32023433130 = 23513214942391
BaseRepresentation
bin11101110100101111…
…101100111110101010
310001122202201221210220
4131310233230332222
51011040444330010
622413353150510
72212366455543
oct356457547652
9101582657726
1032023433130
1112643436317
1262586bb436
133034655400
14179b0834ca
15c765b9970
hex774becfaa

32023433130 has 96 divisors (see below), whose sum is σ = 83783548800. Its totient is φ = 7829602560.

The previous prime is 32023433087. The next prime is 32023433153. The reversal of 32023433130 is 3133432023.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32023433130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734235 + ... + 776625.

It is an arithmetic number, because the mean of its divisors is an integer number (872745300).

Almost surely, 232023433130 is an apocalyptic number.

32023433130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32023433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41891774400).

32023433130 is an abundant number, since it is smaller than the sum of its proper divisors (51760115670).

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

32023433130 is a wasteful number, since it uses less digits than its factorization.

32023433130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42576 (or 42563 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 32023433130 its reverse (3133432023), we get a palindrome (35156865153).

The spelling of 32023433130 in words is "thirty-two billion, twenty-three million, four hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 169 195 298 338 390 447 507 745 845 894 1014 1490 1690 1937 2235 2535 3874 4470 5070 5811 9685 11622 19370 25181 29055 42391 50362 58110 75543 84782 125905 127173 151086 211955 251810 254346 377715 423910 551083 635865 755430 1102166 1271730 1653249 2755415 3306498 5510830 6316259 7164079 8266245 12632518 14328158 16532490 18948777 21492237 31581295 35820395 37897554 42984474 63162590 71640790 82111367 94743885 107461185 164222734 189487770 214922370 246334101 410556835 492668202 821113670 1067447771 1231670505 2134895542 2463341010 3202343313 5337238855 6404686626 10674477710 16011716565 32023433130