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13310303031 = 324793087521
BaseRepresentation
bin11000110010101101…
…10001101100110111
31021100121200110012100
430121112301230313
5204224414144111
610040433553143
7650561465124
oct143126615467
937317613170
1013310303031
115710356743
1226b57157b3
13134176926c
14903a6174b
1552d7e8756
hex3195b1b37

13310303031 has 12 divisors (see below), whose sum is σ = 19266137280. Its totient is φ = 8855007360.

The previous prime is 13310303009. The next prime is 13310303053. The reversal of 13310303031 is 13030301331.

13310303031 is a `hidden beast` number, since 1 + 331 + 0 + 30 + 303 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13310303009) and next prime (13310303053).

It is not a de Polignac number, because 13310303031 - 27 = 13310302903 is a prime.

It is a super-2 number, since 2×133103030312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310302995 and 13310303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310303081) 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, 1539450 + ... + 1548071.

It is an arithmetic number, because the mean of its divisors is an integer number (1605511440).

Almost surely, 213310303031 is an apocalyptic number.

13310303031 is a deficient number, since it is larger than the sum of its proper divisors (5955834249).

13310303031 is a wasteful number, since it uses less digits than its factorization.

13310303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088006 (or 3088003 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13310303031 its reverse (13030301331), we get a palindrome (26340604362).

The spelling of 13310303031 in words is "thirteen billion, three hundred ten million, three hundred three thousand, thirty-one".

Divisors: 1 3 9 479 1437 4311 3087521 9262563 27787689 1478922559 4436767677 13310303031