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1313010310200 = 23352171946314633
BaseRepresentation
bin10011000110110101100…
…000110101110000111000
311122112002221112200121220
4103012311200311300320
5133003021114411300
62443104423432040
7163601422330041
oct23066540656070
94575087480556
101313010310200
114669320a9876
121925785b5620
1396a7c668c44
144779b4398c8
152424b211da0
hex131b5835c38

1313010310200 has 384 divisors, whose sum is σ = 4546701849600. Its totient is φ = 311500062720.

The previous prime is 1313010310189. The next prime is 1313010310211. The reversal of 1313010310200 is 20130103131.

It is an interprime number because it is at equal distance from previous prime (1313010310189) and next prime (1313010310211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313010310200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89722084 + ... + 89736716.

It is an arithmetic number, because the mean of its divisors is an integer number (11840369400).

Almost surely, 21313010310200 is an apocalyptic number.

1313010310200 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 1313010310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273350924800).

1313010310200 is an abundant number, since it is smaller than the sum of its proper divisors (3233691539400).

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

1313010310200 is a wasteful number, since it uses less digits than its factorization.

1313010310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15151 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1313010310200 its reverse (20130103131), we get a palindrome (1333140413331).

The spelling of 1313010310200 in words is "one trillion, three hundred thirteen billion, ten million, three hundred ten thousand, two hundred".