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1310022110320 = 2457111997511423
BaseRepresentation
bin10011000100000011011…
…001110000110001110000
311122020101200201102000021
4103010003121300301300
5132430411130012240
62441452120133224
7163434366132040
oct23040331606160
94566350642007
101310022110320
11465639368aa0
12191a83907214
13966c4556731
1447596625720
1524123bee54a
hex13103670c70

1310022110320 has 320 divisors, whose sum is σ = 3824212377600. Its totient is φ = 405440640000.

The previous prime is 1310022110291. The next prime is 1310022110399. The reversal of 1310022110320 is 230112200131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310022110294 and 1310022110303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920605129 + ... + 920606551.

It is an arithmetic number, because the mean of its divisors is an integer number (11950663680).

Almost surely, 21310022110320 is an apocalyptic number.

1310022110320 is a gapful number since it is divisible by the number (10) 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 1310022110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912106188800).

1310022110320 is an abundant number, since it is smaller than the sum of its proper divisors (2514190267280).

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

1310022110320 is a wasteful number, since it uses less digits than its factorization.

1310022110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1310022110320 its reverse (230112200131), we get a palindrome (1540134310451).

The spelling of 1310022110320 in words is "one trillion, three hundred ten billion, twenty-two million, one hundred ten thousand, three hundred twenty".