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1313784700800 = 2735211213192241
BaseRepresentation
bin10011000111100011101…
…010111001111110000000
311122121002220200210211020
4103013203222321332000
5133011112340411200
62443313325345440
7163626544462425
oct23074352717600
94577086623736
101313784700800
1146719a238a00
12192753a08280
1396b73c23430
1447832219d4c
15242941caea0
hex131e3ab9f80

1313784700800 has 1728 divisors, whose sum is σ = 5428525520880. Its totient is φ = 277364736000.

The previous prime is 1313784700777. The next prime is 1313784700801. The reversal of 1313784700800 is 80074873131.

It is a happy number.

It is a super-2 number, since 2×13137847008002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313784700801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5451388680 + ... + 5451388920.

Almost surely, 21313784700800 is an apocalyptic number.

1313784700800 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 1313784700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714262760440).

1313784700800 is an abundant number, since it is smaller than the sum of its proper divisors (4114740820080).

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

1313784700800 is a wasteful number, since it uses less digits than its factorization.

1313784700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1313784700800 in words is "one trillion, three hundred thirteen billion, seven hundred eighty-four million, seven hundred thousand, eight hundred".