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1310013230022 = 2327317194315277
BaseRepresentation
bin10011000100000010110…
…111111000101111000110
311122020101002000020112100
4103010002313320233012
5132430401341330042
62441451201532530
7163434230505000
oct23040267705706
94566332006470
101310013230022
11465634353102
12191a80944146
13966c2767713
1447595393370
152412304824c
hex13102df8bc6

1310013230022 has 384 divisors, whose sum is σ = 3775254912000. Its totient is φ = 325949266944.

The previous prime is 1310013229997. The next prime is 1310013230081. The reversal of 1310013230022 is 2200323100131.

1310013230022 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 32 + 300 + 22 = 666.

It is a super-2 number, since 2×13100132300222 (a number of 25 digits) contains 22 as substring.

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 = 1310013229977 and 1310013230004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85743048 + ... + 85758324.

It is an arithmetic number, because the mean of its divisors is an integer number (9831393000).

Almost surely, 21310013230022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310013230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887627456000).

1310013230022 is an abundant number, since it is smaller than the sum of its proper divisors (2465241681978).

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

1310013230022 is a wasteful number, since it uses less digits than its factorization.

1310013230022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15385 (or 15368 counting only the distinct ones).

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

Adding to 1310013230022 its reverse (2200323100131), we get a palindrome (3510336330153).

The spelling of 1310013230022 in words is "one trillion, three hundred ten billion, thirteen million, two hundred thirty thousand, twenty-two".