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1310713289 is a prime number
BaseRepresentation
bin100111000011111…
…1110010111001001
310101100100010121122
41032013332113021
510141020311124
6334021045025
744323610354
oct11607762711
93340303548
101310713289
11612955326
12306b56775
1317b7193c2
14c610d29b
157a10975e
hex4e1fe5c9

1310713289 has 2 divisors, whose sum is σ = 1310713290. Its totient is φ = 1310713288.

The previous prime is 1310713249. The next prime is 1310713291. The reversal of 1310713289 is 9823170131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 860424889 + 450288400 = 29333^2 + 21220^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310713289 - 212 = 1310709193 is a prime.

It is a super-2 number, since 2×13107132892 = 3435938651922395042, which contains 22 as substring.

Together with 1310713291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1310713249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655356644 + 655356645.

It is an arithmetic number, because the mean of its divisors is an integer number (655356645).

Almost surely, 21310713289 is an apocalyptic number.

It is an amenable number.

1310713289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310713289 is an equidigital number, since it uses as much as digits as its factorization.

1310713289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1310713289 is about 36203.7745131637. The cubic root of 1310713289 is about 1094.3827380886.

The spelling of 1310713289 in words is "one billion, three hundred ten million, seven hundred thirteen thousand, two hundred eighty-nine".