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13220000031 = 37289931973
BaseRepresentation
bin11000100111111100…
…10011000100011111
31021010022202120202210
430103332103010133
5204033310000111
610023450251503
7645414101100
oct142376230437
937108676683
1013220000031
115674388767
12268b426b93
131328b3c434
148d5a763a7
1552590c0a6
hex313f9311f

13220000031 has 12 divisors (see below), whose sum is σ = 20504490072. Its totient is φ = 7554285648.

The previous prime is 13219999999. The next prime is 13220000051. The reversal of 13220000031 is 13000002231.

It is a happy number.

It is not a de Polignac number, because 13220000031 - 25 = 13219999999 is a prime.

It is a super-2 number, since 2×132200000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13219999971 and 13220000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220000051) 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, 44965840 + ... + 44966133.

It is an arithmetic number, because the mean of its divisors is an integer number (1708707506).

Almost surely, 213220000031 is an apocalyptic number.

13220000031 is a deficient number, since it is larger than the sum of its proper divisors (7284490041).

13220000031 is an equidigital number, since it uses as much as digits as its factorization.

13220000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89931990 (or 89931983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13220000031 its reverse (13000002231), we get a palindrome (26220002262).

The spelling of 13220000031 in words is "thirteen billion, two hundred twenty million, thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 49 147 89931973 269795919 629523811 1888571433 4406666677 13220000031