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1310344431 = 311231726409
BaseRepresentation
bin100111000011010…
…0100010011101111
310101022122101122020
41032012210103233
510140422010211
6334005121223
744320513104
oct11606442357
93338571566
101310344431
11612723190
123069b9213
1317b61a546
14c6054aab
157a085306
hex4e1a44ef

1310344431 has 16 divisors (see below), whose sum is σ = 1988824320. Its totient is φ = 759619520.

The previous prime is 1310344429. The next prime is 1310344447. The reversal of 1310344431 is 1344430131.

1310344431 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1310344431 - 21 = 1310344429 is a prime.

It is a super-2 number, since 2×13103444312 = 3434005055705427522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310344331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862446 + ... + 863963.

It is an arithmetic number, because the mean of its divisors is an integer number (124301520).

Almost surely, 21310344431 is an apocalyptic number.

1310344431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1310344431 is a deficient number, since it is larger than the sum of its proper divisors (678479889).

1310344431 is a wasteful number, since it uses less digits than its factorization.

1310344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726446.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1310344431 is about 36198.6799621202. The cubic root of 1310344431 is about 1094.2800688768.

Adding to 1310344431 its reverse (1344430131), we get a palindrome (2654774562).

The spelling of 1310344431 in words is "one billion, three hundred ten million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 759 1726409 5179227 18990499 39707407 56971497 119122221 436781477 1310344431