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1312101761 = 53181136777
BaseRepresentation
bin100111000110101…
…0001010110000001
310101102221200020112
41032031101112001
510141344224021
6334110521105
744341452365
oct11615212601
93342850215
101312101761
11613713523
12307506195
1317bab4399
14c63912a5
157a2d0d5b
hex4e351581

1312101761 has 8 divisors (see below), whose sum is σ = 1344254184. Its totient is φ = 1280223360.

The previous prime is 1312101743. The next prime is 1312101787. The reversal of 1312101761 is 1671012131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60357361 + 1251744400 = 7769^2 + 35380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312101761 is a prime.

It is a super-2 number, since 2×13121017612 = 3443222062438602242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312161761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58796 + ... + 77981.

It is an arithmetic number, because the mean of its divisors is an integer number (168031773).

Almost surely, 21312101761 is an apocalyptic number.

It is an amenable number.

1312101761 is a deficient number, since it is larger than the sum of its proper divisors (32152423).

1312101761 is a wasteful number, since it uses less digits than its factorization.

1312101761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137011.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 1312101761 is about 36222.9452281285. The cubic root of 1312101761 is about 1094.7690375592.

Adding to 1312101761 its reverse (1671012131), we get a palindrome (2983113892).

The spelling of 1312101761 in words is "one billion, three hundred twelve million, one hundred one thousand, seven hundred sixty-one".

Divisors: 1 53 181 9593 136777 7249181 24756637 1312101761