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1312629131 = 113711328541
BaseRepresentation
bin100111000111101…
…0010000110001011
310101110221110122202
41032033102012023
510142013113011
6334130110415
744346110042
oct11617220613
93343843582
101312629131
11613a43770
1230771b40b
1317bc3a438
14c648b559
157a38723b
hex4e3d218b

1312629131 has 16 divisors (see below), whose sum is σ = 1483727328. Its totient is φ = 1150732800.

The previous prime is 1312629107. The next prime is 1312629139. The reversal of 1312629131 is 1319262131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312629131 is a prime.

It is a super-2 number, since 2×13126291312 = 3445990471099630322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312629094 and 1312629103.

It is not an unprimeable number, because it can be changed into a prime (1312629139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31721 + ... + 60261.

It is an arithmetic number, because the mean of its divisors is an integer number (92732958).

Almost surely, 21312629131 is an apocalyptic number.

1312629131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312629131 is a deficient number, since it is larger than the sum of its proper divisors (171098197).

1312629131 is a wasteful number, since it uses less digits than its factorization.

1312629131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28702.

The product of its digits is 1944, while the sum is 29.

The square root of 1312629131 is about 36230.2239987555. The cubic root of 1312629131 is about 1094.9156905682.

It can be divided in two parts, 131 and 2629131, that added together give a palindrome (2629262).

The spelling of 1312629131 in words is "one billion, three hundred twelve million, six hundred twenty-nine thousand, one hundred thirty-one".

Divisors: 1 11 37 113 407 1243 4181 28541 45991 313951 1056017 3225133 11616187 35476463 119329921 1312629131