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1310344212114 = 232717096085171
BaseRepresentation
bin10011000100010110100…
…110011110111010010010
311122021020010210212121100
4103010112212132322102
5132432041104241424
62441544104005230
7163445360013240
oct23042646367222
94567203725540
101310344212114
11465794168923
12191b53760816
13967461c2502
14475c730d790
1524142126dc9
hex1311699ee92

1310344212114 has 48 divisors (see below), whose sum is σ = 3246560965440. Its totient is φ = 374164932960.

The previous prime is 1310344212113. The next prime is 1310344212139. The reversal of 1310344212114 is 4112124430131.

It is a happy number.

1310344212114 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 442 + 1 + 211 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1310344212113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827252 + ... + 3257919.

It is an arithmetic number, because the mean of its divisors is an integer number (67636686780).

Almost surely, 21310344212114 is an apocalyptic number.

1310344212114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1310344212114 is an abundant number, since it is smaller than the sum of its proper divisors (1936216753326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310344212114 is a wasteful number, since it uses less digits than its factorization.

1310344212114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086895 (or 6086892 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1310344212114 its reverse (4112124430131), we get a palindrome (5422468642245).

The spelling of 1310344212114 in words is "one trillion, three hundred ten billion, three hundred forty-four million, two hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1709 3418 5127 10254 11963 15381 23926 30762 35889 71778 107667 215334 6085171 12170342 18255513 36511026 42596197 54766539 85192394 109533078 127788591 255577182 383365773 766731546 10399557239 20799114478 31198671717 62397343434 72796900673 93596015151 145593801346 187192030302 218390702019 436781404038 655172106057 1310344212114