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32013021321 = 3219187210651
BaseRepresentation
bin11101110100000111…
…111111000010001001
310001122001010222111100
4131310013333002021
51011030313140241
622412342052013
72212212122451
oct356407770211
9101561128440
1032013021321
1112638574816
12625511a009
13303244b288
141799932d61
15c7570e9b6
hex7741ff089

32013021321 has 12 divisors (see below), whose sum is σ = 48674769520. Its totient is φ = 20218750200.

The previous prime is 32013021269. The next prime is 32013021329. The reversal of 32013021321 is 12312031023.

32013021321 is a `hidden beast` number, since 320 + 1 + 3 + 0 + 21 + 321 = 666.

It is not a de Polignac number, because 32013021321 - 223 = 32004632713 is a prime.

It is a super-3 number, since 3×320130213213 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32013021294 and 32013021303.

It is not an unprimeable number, because it can be changed into a prime (32013021329) 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 11 ways as a sum of consecutive naturals, for example, 93605155 + ... + 93605496.

Almost surely, 232013021321 is an apocalyptic number.

It is an amenable number.

32013021321 is a deficient number, since it is larger than the sum of its proper divisors (16661748199).

32013021321 is a wasteful number, since it uses less digits than its factorization.

32013021321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187210676 (or 187210673 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32013021321 its reverse (12312031023), we get a palindrome (44325052344).

The spelling of 32013021321 in words is "thirty-two billion, thirteen million, twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 171 187210651 561631953 1684895859 3557002369 10671007107 32013021321