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1313399727 = 3267792349
BaseRepresentation
bin100111001001000…
…1110001110101111
310101112101121201100
41032102032032233
510142212242402
6334154414143
744355466503
oct11622161657
93345347640
101313399727
1161441a722
12307a31353
1317c14a103
14c660c303
157a48a71c
hex4e48e3af

1313399727 has 36 divisors (see below), whose sum is σ = 1955717400. Its totient is φ = 849172896.

The previous prime is 1313399629. The next prime is 1313399743. The reversal of 1313399727 is 7279933131.

It is a happy number.

It is not a de Polignac number, because 1313399727 - 218 = 1313137583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313399327) 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 35 ways as a sum of consecutive naturals, for example, 3763149 + ... + 3763497.

Almost surely, 21313399727 is an apocalyptic number.

1313399727 is a deficient number, since it is larger than the sum of its proper divisors (642317673).

1313399727 is an equidigital number, since it uses as much as digits as its factorization.

1313399727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 498 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 1313399727 is about 36240.8571504593. The cubic root of 1313399727 is about 1095.1299101514.

The spelling of 1313399727 in words is "one billion, three hundred thirteen million, three hundred ninety-nine thousand, seven hundred twenty-seven".

Divisors: 1 3 9 67 79 201 237 349 603 711 1047 3141 5293 6241 15879 18723 23383 27571 47637 56169 70149 82713 210447 248139 418147 1254441 1847257 2178109 3763323 5541771 6534327 16625313 19602981 145933303 437799909 1313399727