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1310142769 = 13821122753
BaseRepresentation
bin100111000010111…
…0011000100110001
310101022021011000021
41032011303010301
510140344032034
6334000523441
744316013135
oct11605630461
93338234007
101310142769
116125a5721
12306920581
1317b579810
14c60013c5
157a0456b4
hex4e173131

1310142769 has 8 divisors (see below), whose sum is σ = 1412653032. Its totient is φ = 1207879680.

The previous prime is 1310142751. The next prime is 1310142793. The reversal of 1310142769 is 9672410131.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 1309354225 = 888^2 + 36185^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1310142769 - 27 = 1310142641 is a prime.

It is a super-2 number, since 2×13101427692 = 3432948150325974722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310142709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50704 + ... + 72049.

It is an arithmetic number, because the mean of its divisors is an integer number (176581629).

Almost surely, 21310142769 is an apocalyptic number.

It is an amenable number.

1310142769 is a deficient number, since it is larger than the sum of its proper divisors (102510263).

1310142769 is a wasteful number, since it uses less digits than its factorization.

1310142769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123587.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1310142769 is about 36195.8943666267. The cubic root of 1310142769 is about 1094.2239294314.

The spelling of 1310142769 in words is "one billion, three hundred ten million, one hundred forty-two thousand, seven hundred sixty-nine".

Divisors: 1 13 821 10673 122753 1595789 100780213 1310142769