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13220032031 = 1737151181769
BaseRepresentation
bin11000100111111100…
…11010111000011111
31021010022211012122222
430103332122320133
5204033312011111
610023451055555
7645414263303
oct142376327037
937108735588
1013220032031
1156743aa808
12268b4415bb
131328b50b7b
148d5a83d03
155259167db
hex313f9ae1f

13220032031 has 32 divisors (see below), whose sum is σ = 14570075520. Its totient is φ = 11943936000.

The previous prime is 13220031971. The next prime is 13220032073. The reversal of 13220032031 is 13023002231.

It is a cyclic number.

It is not a de Polignac number, because 13220032031 - 210 = 13220031007 is a prime.

It is a super-2 number, since 2×132200320312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220037031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17190815 + ... + 17191583.

It is an arithmetic number, because the mean of its divisors is an integer number (455314860).

Almost surely, 213220032031 is an apocalyptic number.

13220032031 is a deficient number, since it is larger than the sum of its proper divisors (1350043489).

13220032031 is a wasteful number, since it uses less digits than its factorization.

13220032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13220032031 its reverse (13023002231), we get a palindrome (26243034262).

The spelling of 13220032031 in words is "thirteen billion, two hundred twenty million, thirty-two thousand, thirty-one".

Divisors: 1 17 37 151 181 629 769 2567 3077 5587 6697 13073 27331 28453 94979 113849 116119 139189 464627 483701 1011247 1974023 2366213 4296403 5149993 17191199 21017539 73038851 87549881 357298163 777648943 13220032031