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32013131232 = 2534353146323
BaseRepresentation
bin11101110100001000…
…011001110111100000
310001122001100120021010
4131310020121313200
51011030330144412
622412344300520
72212213061055
oct356410316740
9101561316233
1032013131232
111263863a355
126255171740
133032489304
14179996102c
15c7573233c
hex774219de0

32013131232 has 96 divisors (see below), whose sum is σ = 87611787648. Its totient is φ = 10226151936.

The previous prime is 32013131219. The next prime is 32013131251. The reversal of 32013131232 is 23213131023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 32013131199 and 32013131208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145623 + ... + 291945.

It is an arithmetic number, because the mean of its divisors is an integer number (912622788).

Almost surely, 232013131232 is an apocalyptic number.

32013131232 is a gapful number since it is divisible by the number (32) 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 32013131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43805893824).

32013131232 is an abundant number, since it is smaller than the sum of its proper divisors (55598656416).

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

32013131232 is a wasteful number, since it uses less digits than its factorization.

32013131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146432 (or 146424 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32013131232 its reverse (23213131023), we get a palindrome (55226262255).

The spelling of 32013131232 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 86 96 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 1376 1696 2064 2279 2544 4128 4558 5088 6837 9116 13674 18232 27348 36464 54696 72928 109392 146323 218784 292646 438969 585292 877938 1170584 1755876 2341168 3511752 4682336 6291889 7023504 7755119 12583778 14047008 15510238 18875667 23265357 25167556 31020476 37751334 46530714 50335112 62040952 75502668 93061428 100670224 124081904 151005336 186122856 201340448 248163808 302010672 333470117 372245712 604021344 666940234 744491424 1000410351 1333880468 2000820702 2667760936 4001641404 5335521872 8003282808 10671043744 16006565616 32013131232