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1312130020032 = 263213271646609
BaseRepresentation
bin10011000110000001000…
…010110011001011000000
311122102211121010022112100
4103012001002303023000
5132444220241120112
62442441220030400
7163540543101306
oct23060102631300
94572747108470
101312130020032
11466520209837
12192371832400
139696c1838a0
1447716570276
15241e8cca2dc
hex131810b32c0

1312130020032 has 168 divisors, whose sum is σ = 4065242242880. Its totient is φ = 402241904640.

The previous prime is 1312130020031. The next prime is 1312130020039. The reversal of 1312130020032 is 2300200312131.

1312130020032 is a `hidden beast` number, since 1 + 312 + 1 + 300 + 20 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312130019987 and 1312130020014.

It is not an unprimeable number, because it can be changed into a prime (1312130020031) 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, 1705944 + ... + 2352552.

Almost surely, 21312130020032 is an apocalyptic number.

1312130020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312130020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032621121440).

1312130020032 is an abundant number, since it is smaller than the sum of its proper divisors (2753112222848).

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

1312130020032 is a wasteful number, since it uses less digits than its factorization.

1312130020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646911 (or 646898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312130020032 its reverse (2300200312131), we get a palindrome (3612330332163).

The spelling of 1312130020032 in words is "one trillion, three hundred twelve billion, one hundred thirty million, twenty thousand, thirty-two".