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1310040009 = 32178562353
BaseRepresentation
bin100111000010101…
…1001111111001001
310101022001221001100
41032011121333021
510140332240014
6333554412013
744315104425
oct11605317711
93338057040
101310040009
116125354a3
12306891009
1317b541b05
14c5db5b85
157a025009
hex4e159fc9

1310040009 has 12 divisors (see below), whose sum is σ = 2003590836. Its totient is φ = 821985792.

The previous prime is 1310039989. The next prime is 1310040013. The reversal of 1310040009 is 9000400131.

It can be written as a sum of positive squares in 2 ways, for example, as 1124126784 + 185913225 = 33528^2 + 13635^2 .

It is not a de Polignac number, because 1310040009 - 215 = 1310007241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310039973 and 1310040000.

It is not an unprimeable number, because it can be changed into a prime (1310040029) 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 11 ways as a sum of consecutive naturals, for example, 4281024 + ... + 4281329.

It is an arithmetic number, because the mean of its divisors is an integer number (166965903).

Almost surely, 21310040009 is an apocalyptic number.

It is an amenable number.

1310040009 is a deficient number, since it is larger than the sum of its proper divisors (693550827).

1310040009 is a wasteful number, since it uses less digits than its factorization.

1310040009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562376 (or 8562373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1310040009 is about 36194.4748407820. The cubic root of 1310040009 is about 1094.1953204906.

The spelling of 1310040009 in words is "one billion, three hundred ten million, forty thousand, nine".

Divisors: 1 3 9 17 51 153 8562353 25687059 77061177 145560001 436680003 1310040009