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1312112013 = 31961377369
BaseRepresentation
bin100111000110101…
…0011110110001101
310101102222012022020
41032031103312031
510141400041023
6334111040353
744341524312
oct11615236615
93342865266
101312112013
116137201a3
123075100b9
1317bab8c54
14c6394d09
157a2d3de3
hex4e353d8d

1312112013 has 16 divisors (see below), whose sum is σ = 1871755200. Its totient is φ = 815114880.

The previous prime is 1312111993. The next prime is 1312112041. The reversal of 1312112013 is 3102112131.

It is a happy number.

It is not a de Polignac number, because 1312112013 - 26 = 1312111949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312111983 and 1312112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312112413) 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 15 ways as a sum of consecutive naturals, for example, 185208 + ... + 192161.

It is an arithmetic number, because the mean of its divisors is an integer number (116984700).

Almost surely, 21312112013 is an apocalyptic number.

It is an amenable number.

1312112013 is a deficient number, since it is larger than the sum of its proper divisors (559643187).

1312112013 is a wasteful number, since it uses less digits than its factorization.

1312112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377452.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1312112013 is about 36223.0867403649. The cubic root of 1312112013 is about 1094.7718888480.

Adding to 1312112013 its reverse (3102112131), we get a palindrome (4414224144).

The spelling of 1312112013 in words is "one billion, three hundred twelve million, one hundred twelve thousand, thirteen".

Divisors: 1 3 19 57 61 183 1159 3477 377369 1132107 7170011 21510033 23019509 69058527 437370671 1312112013