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1310131210440 = 23351310761712721
BaseRepresentation
bin10011000100001001111…
…001111100100011001000
311122020200022000021020110
4103010021321330203020
5132431122042213230
62441511014354320
7163440162355143
oct23041171744310
94566608007213
101310131210440
11465694a05588
12191ab435b9a0
1396711035310
14475a6d0505a
152412d5a04b0
hex13109e7c8c8

1310131210440 has 256 divisors, whose sum is σ = 4279550526720. Its totient is φ = 318937006080.

The previous prime is 1310131210429. The next prime is 1310131210471. The reversal of 1310131210440 is 440121310131.

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, 102983280 + ... + 102996000.

It is an arithmetic number, because the mean of its divisors is an integer number (16716994245).

Almost surely, 21310131210440 is an apocalyptic number.

1310131210440 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 1310131210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139775263360).

1310131210440 is an abundant number, since it is smaller than the sum of its proper divisors (2969419316280).

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

1310131210440 is a wasteful number, since it uses less digits than its factorization.

1310131210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1310131210440 its reverse (440121310131), we get a palindrome (1750252520571).

The spelling of 1310131210440 in words is "one trillion, three hundred ten billion, one hundred thirty-one million, two hundred ten thousand, four hundred forty".