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1331327013757 = 131131697534049
BaseRepresentation
bin10011010111111001010…
…001100001001101111101
311201021101110122122020221
4103113321101201031331
5133303024203420012
62455334142141341
7165120344621116
oct23277121411575
94637343578227
101331327013757
11473681434304
1219602a881851
139870b395180
1448617d4720d
152496e2c8507
hex135f946137d

1331327013757 has 16 divisors (see below), whose sum is σ = 1447279772400. Its totient is φ = 1217321828352.

The previous prime is 1331327013743. The next prime is 1331327013763. The reversal of 1331327013757 is 7573107231331.

It can be written as a sum of positive squares in 8 ways, for example, as 106345123236 + 1224981890521 = 326106^2 + 1106789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331327013757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331327013707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2225869 + ... + 2759917.

It is an arithmetic number, because the mean of its divisors is an integer number (90454985775).

Almost surely, 21331327013757 is an apocalyptic number.

It is an amenable number.

1331327013757 is a deficient number, since it is larger than the sum of its proper divisors (115952758643).

1331327013757 is a wasteful number, since it uses less digits than its factorization.

1331327013757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535872.

The product of its (nonzero) digits is 277830, while the sum is 43.

The spelling of 1331327013757 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-seven million, thirteen thousand, seven hundred fifty-seven".

Divisors: 1 13 113 1469 1697 22061 191761 534049 2492893 6942637 60347537 784517981 906281153 11781654989 102409770289 1331327013757