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13073181331 = 722069128951
BaseRepresentation
bin11000010110011100…
…01110101010010011
31020202002111102101011
430023032032222103
5203233213300311
610001123351351
7641652131200
oct141316165223
936662442334
1013073181331
1155a95196a1
12264a222557
1313045b5572
148c0378ca7
15517aaa321
hex30b38ea93

13073181331 has 12 divisors (see below), whose sum is σ = 15215046480. Its totient is φ = 11200081200.

The previous prime is 13073181269. The next prime is 13073181361. The reversal of 13073181331 is 13318137031.

13073181331 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 13073181331 - 211 = 13073179283 is a prime.

It is a super-2 number, since 2×130731813312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13073181293 and 13073181302.

It is not an unprimeable number, because it can be changed into a prime (13073181361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36906 + ... + 165856.

It is an arithmetic number, because the mean of its divisors is an integer number (1267920540).

Almost surely, 213073181331 is an apocalyptic number.

13073181331 is a deficient number, since it is larger than the sum of its proper divisors (2141865149).

13073181331 is a wasteful number, since it uses less digits than its factorization.

13073181331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131034 (or 131027 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 13073181331 in words is "thirteen billion, seventy-three million, one hundred eighty-one thousand, three hundred thirty-one".

Divisors: 1 7 49 2069 14483 101381 128951 902657 6318599 266799619 1867597333 13073181331