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13000222031 = 1731127194239
BaseRepresentation
bin11000001101101111…
…11010010101001111
31020120000012201000212
430012313322111033
5203111024101111
65545555513035
7640105030646
oct140667722517
936500181025
1013000222031
115571317255
1226298b877b
1312c244ba94
148b47c635d
1551149798b
hex306dfa54f

13000222031 has 16 divisors (see below), whose sum is σ = 14320926720. Its totient is φ = 11747514240.

The previous prime is 13000222021. The next prime is 13000222033. The reversal of 13000222031 is 13022200031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13000222031 - 26 = 13000221967 is a prime.

It is a super-3 number, since 3×130002220313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000221997 and 13000222015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000222033) 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, 30191 + ... + 164048.

It is an arithmetic number, because the mean of its divisors is an integer number (895057920).

Almost surely, 213000222031 is an apocalyptic number.

13000222031 is a deficient number, since it is larger than the sum of its proper divisors (1320704689).

13000222031 is a wasteful number, since it uses less digits than its factorization.

13000222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194414.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13000222031 its reverse (13022200031), we get a palindrome (26022422062).

The spelling of 13000222031 in words is "thirteen billion, two hundred twenty-two thousand, thirty-one".

Divisors: 1 17 31 127 527 2159 3937 66929 194239 3302063 6021409 24668353 102363953 419362001 764718943 13000222031