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1310131322120 = 235171926663709
BaseRepresentation
bin10011000100001001111…
…010010111110100001000
311122020200022012221102202
4103010021322113310020
5132431122104301440
62441511021015332
7163440163331555
oct23041172276410
94566608187382
101310131322120
11465694a81485
12191ab43b4548
13967110740ba
14475a6d33a2c
152412d5c3615
hex13109e97d08

1310131322120 has 32 divisors (see below), whose sum is σ = 3121195210200. Its totient is φ = 493225909248.

The previous prime is 1310131322119. The next prime is 1310131322153. The reversal of 1310131322120 is 212231310131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 987364170244 + 322767151876 = 993662^2 + 568126^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1310131322092 and 1310131322101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 963331175 + ... + 963332534.

Almost surely, 21310131322120 is an apocalyptic number.

1310131322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310131322120 is an abundant number, since it is smaller than the sum of its proper divisors (1811063888080).

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

1310131322120 is a wasteful number, since it uses less digits than its factorization.

1310131322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926663737 (or 1926663733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310131322120 its reverse (212231310131), we get a palindrome (1522362632251).

The spelling of 1310131322120 in words is "one trillion, three hundred ten billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1926663709 3853327418 7706654836 9633318545 15413309672 19266637090 32753283053 38533274180 65506566106 77066548360 131013132212 163766415265 262026264424 327532830530 655065661060 1310131322120