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32013131320 = 23529115123977
BaseRepresentation
bin11101110100001000…
…011001111000111000
310001122001100120101101
4131310020121320320
51011030330200240
622412344301144
72212213061242
oct356410317070
9101561316341
1032013131320
111263863a425
1262551717b4
133032489371
141799961092
15c7573239a
hex774219e38

32013131320 has 64 divisors (see below), whose sum is σ = 74581171200. Its totient is φ = 12352435200.

The previous prime is 32013131309. The next prime is 32013131327. The reversal of 32013131320 is 2313131023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013131327) by changing a digit.

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, 1323172 + ... + 1347148.

It is an arithmetic number, because the mean of its divisors is an integer number (1165330800).

Almost surely, 232013131320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37290585600).

32013131320 is an abundant number, since it is smaller than the sum of its proper divisors (42568039880).

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

32013131320 is a wasteful number, since it uses less digits than its factorization.

32013131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25168 (or 25164 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 32013131320 its reverse (2313131023), we get a palindrome (34326262343).

The spelling of 32013131320 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1151 1160 2302 4604 5755 9208 11510 23020 23977 33379 46040 47954 66758 95908 119885 133516 166895 191816 239770 267032 333790 479540 667580 695333 959080 1335160 1390666 2781332 3476665 5562664 6953330 13906660 27597527 27813320 55195054 110390108 137987635 220780216 275975270 551950540 800328283 1103901080 1600656566 3201313132 4001641415 6402626264 8003282830 16006565660 32013131320