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1313123031 = 321141323509
BaseRepresentation
bin100111001000100…
…1010101011010111
310101111212120011100
41032101022223113
510142124414111
6334144441143
744353235013
oct11621125327
93344776140
101313123031
11614250850
123079191b3
1317c08119c
14c6579543
157a433756
hex4e44aad7

1313123031 has 24 divisors (see below), whose sum is σ = 2119637520. Its totient is φ = 776419200.

The previous prime is 1313123023. The next prime is 1313123039. The reversal of 1313123031 is 1303213131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313123023) and next prime (1313123039).

It is not a de Polignac number, because 1313123031 - 23 = 1313123023 is a prime.

It is a super-2 number, since 2×13131230312 = 3448584189085253922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313122995 and 1313123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313123039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157696 + ... + 165813.

It is an arithmetic number, because the mean of its divisors is an integer number (88318230).

Almost surely, 21313123031 is an apocalyptic number.

1313123031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1313123031 is a deficient number, since it is larger than the sum of its proper divisors (806514489).

1313123031 is a wasteful number, since it uses less digits than its factorization.

1313123031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323567 (or 323564 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313123031 is about 36237.0394900025. The cubic root of 1313123031 is about 1095.0530004996.

Adding to 1313123031 its reverse (1303213131), we get a palindrome (2616336162).

The spelling of 1313123031 in words is "one billion, three hundred thirteen million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 323509 970527 2911581 3558599 10675797 13263869 32027391 39791607 119374821 145902559 437707677 1313123031