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32013131241 = 3721325765183
BaseRepresentation
bin11101110100001000…
…011001110111101001
310001122001100120021110
4131310020121313221
51011030330144431
622412344300533
72212213061100
oct356410316751
9101561316243
1032013131241
111263863a363
126255171749
133032489310
141799961037
15c75732346
hex774219de9

32013131241 has 48 divisors (see below), whose sum is σ = 53681370624. Its totient is φ = 16820084736.

The previous prime is 32013131219. The next prime is 32013131251. The reversal of 32013131241 is 14213131023.

It is not a de Polignac number, because 32013131241 - 26 = 32013131177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32013131251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458536 + ... + 523718.

It is an arithmetic number, because the mean of its divisors is an integer number (1118361888).

Almost surely, 232013131241 is an apocalyptic number.

It is an amenable number.

32013131241 is a deficient number, since it is larger than the sum of its proper divisors (21668239383).

32013131241 is a wasteful number, since it uses less digits than its factorization.

32013131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65470 (or 65463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32013131241 its reverse (14213131023), we get a palindrome (46226262264).

The spelling of 32013131241 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 49 91 147 257 273 637 771 1799 1911 3341 5397 10023 12593 23387 37779 65183 70161 163709 195549 456281 491127 847379 1368843 2542137 3193967 5931653 9581901 16752031 17794959 41521571 50256093 117264217 124564713 217776403 351792651 653329209 820849519 1524434821 2462548557 4573304463 10671043747 32013131241