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1310350540122 = 236132331472063
BaseRepresentation
bin10011000100010110111…
…110100111110101011010
311122021020120201101000000
4103010112332213311122
5132432044214240442
62441544451353430
7163445464550241
oct23042676476532
94567216641000
101310350540122
114657977a0188
12191b558b2876
13967475c98b0
14475c80b9958
1524142976d4c
hex13116fa7d5a

1310350540122 has 448 divisors, whose sum is σ = 3492863410176. Its totient is φ = 365096730240.

The previous prime is 1310350540097. The next prime is 1310350540133. The reversal of 1310350540122 is 2210450530131.

1310350540122 is a `hidden beast` number, since 1 + 3 + 103 + 5 + 0 + 540 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 635166463 + ... + 635168525.

It is an arithmetic number, because the mean of its divisors is an integer number (7796570112).

Almost surely, 21310350540122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310350540122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746431705088).

1310350540122 is an abundant number, since it is smaller than the sum of its proper divisors (2182512870054).

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

1310350540122 is a wasteful number, since it uses less digits than its factorization.

1310350540122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Subtracting 1310350540122 from its reverse (2210450530131), we obtain a palindrome (900099990009).

The spelling of 1310350540122 in words is "one trillion, three hundred ten billion, three hundred fifty million, five hundred forty thousand, one hundred twenty-two".