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13012142031 = 327229505991
BaseRepresentation
bin11000001111001010…
…11000011111001111
31020120211122022012100
430013211120133033
5203122102021111
65551103210143
7640311245100
oct140745303717
936524568170
1013012142031
115578018999
1226318a6953
1312c4a63535
148b620a3a7
1551254e756
hex3079587cf

13012142031 has 18 divisors (see below), whose sum is σ = 21863940072. Its totient is φ = 7435509480.

The previous prime is 13012141993. The next prime is 13012142041. The reversal of 13012142031 is 13024121031.

It is not a de Polignac number, because 13012142031 - 214 = 13012125647 is a prime.

It is a super-2 number, since 2×130121420312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13012141995 and 13012142013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012142041) 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 17 ways as a sum of consecutive naturals, for example, 14752555 + ... + 14753436.

Almost surely, 213012142031 is an apocalyptic number.

13012142031 is a deficient number, since it is larger than the sum of its proper divisors (8851798041).

13012142031 is a wasteful number, since it uses less digits than its factorization.

13012142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29506011 (or 29506001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13012142031 its reverse (13024121031), we get a palindrome (26036263062).

The spelling of 13012142031 in words is "thirteen billion, twelve million, one hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 29505991 88517973 206541937 265553919 619625811 1445793559 1858877433 4337380677 13012142031