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1310807997 = 321013174549
BaseRepresentation
bin100111000100001…
…0101011110111101
310101100111221112100
41032020111132331
510141031323442
6334023055313
744324453442
oct11610253675
93340457470
101310807997
11612a0a4a4
12306ba1539
1317b750545
14c61359c9
157a12784c
hex4e2157bd

1310807997 has 24 divisors (see below), whose sum is σ = 1918589400. Its totient is φ = 862300800.

The previous prime is 1310807989. The next prime is 1310808011. The reversal of 1310807997 is 7997080131.

It can be written as a sum of positive squares in 4 ways, for example, as 340734681 + 970073316 = 18459^2 + 31146^2 .

It is not a de Polignac number, because 1310807997 - 23 = 1310807989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310807977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285879 + ... + 290427.

It is an arithmetic number, because the mean of its divisors is an integer number (79941225).

Almost surely, 21310807997 is an apocalyptic number.

It is an amenable number.

1310807997 is a deficient number, since it is larger than the sum of its proper divisors (607781403).

1310807997 is a wasteful number, since it uses less digits than its factorization.

1310807997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 1310807997 is about 36205.0824747024. The cubic root of 1310807997 is about 1094.4090963331.

The spelling of 1310807997 in words is "one billion, three hundred ten million, eight hundred seven thousand, nine hundred ninety-seven".

Divisors: 1 3 9 101 303 317 909 951 2853 4549 13647 32017 40941 96051 288153 459449 1378347 1442033 4135041 4326099 12978297 145645333 436935999 1310807997