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13220332220031 = 319337688236359
BaseRepresentation
bin1100000001100001100100…
…1101001010111001111111
31201210211222200110000020020
43000120121031022321333
53213100220022020111
644041200424423223
72533065104514666
oct300303115127177
951724880400206
1013220332220031
114237790980822
121596232617b13
1374b897451601
14339c2058bddd
1517dd57aec906
hexc061934ae7f

13220332220031 has 16 divisors (see below), whose sum is σ = 18609911174400. Its totient is φ = 8324906986368.

The previous prime is 13220332219967. The next prime is 13220332220033. The reversal of 13220332220031 is 13002223302231.

13220332220031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13220332220031 - 26 = 13220332219967 is a prime.

It is a super-2 number, since 2×132203322200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220332219983 and 13220332220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220332220033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344098971 + ... + 344137388.

It is an arithmetic number, because the mean of its divisors is an integer number (1163119448400).

Almost surely, 213220332220031 is an apocalyptic number.

13220332220031 is a deficient number, since it is larger than the sum of its proper divisors (5389578954369).

13220332220031 is a wasteful number, since it uses less digits than its factorization.

13220332220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688236718.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13220332220031 its reverse (13002223302231), we get a palindrome (26222555522262).

The spelling of 13220332220031 in words is "thirteen trillion, two hundred twenty billion, three hundred thirty-two million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 19 57 337 1011 6403 19209 688236359 2064709077 13076490821 39229472463 231935652983 695806958949 4406777406677 13220332220031