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313200030000 = 24354112136637
BaseRepresentation
bin1001000111011000010…
…11010011000100110000
31002221102110010000210010
410203230023103010300
520112413201430000
6355514311334520
731425250220664
oct4435413230460
91087373100703
10313200030000
11110911285200
125084a081440
13236c4798450
141123229a8a4
158231473d50
hex48ec2d3130

313200030000 has 600 divisors, whose sum is σ = 1196987578864. Its totient is φ = 70076160000.

The previous prime is 313200029999. The next prime is 313200030023. The reversal of 313200030000 is 30002313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47186682 + ... + 47193318.

Almost surely, 2313200030000 is an apocalyptic number.

313200030000 is a gapful number since it is divisible by the number (30) 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 313200030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598493789432).

313200030000 is an abundant number, since it is smaller than the sum of its proper divisors (883787548864).

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

313200030000 is a wasteful number, since it uses less digits than its factorization.

313200030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 313200030000 its reverse (30002313), we get a palindrome (313230032313).

The spelling of 313200030000 in words is "three hundred thirteen billion, two hundred million, thirty thousand".