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313313230000 = 2454171997001
BaseRepresentation
bin1001000111100101110…
…11000111110010110000
31002221201100010011222201
410203302323013302300
520113131141330000
6355533433512544
731431123341101
oct4436273076260
91087640104881
10313313230000
1111096a172021
125087bb72754
13237120811b4
14112433263a8
15823b38496a
hex48f2ec7cb0

313313230000 has 200 divisors, whose sum is σ = 845465551920. Its totient is φ = 111744000000.

The previous prime is 313313229959. The next prime is 313313230079. The reversal of 313313230000 is 32313313.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 313313230000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3181500 + ... + 3278500.

Almost surely, 2313313230000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313313230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422732775960).

313313230000 is an abundant number, since it is smaller than the sum of its proper divisors (532152321920).

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

313313230000 is a wasteful number, since it uses less digits than its factorization.

313313230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97065 (or 97044 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 313313230000 its reverse (32313313), we get a palindrome (313345543313).

The spelling of 313313230000 in words is "three hundred thirteen billion, three hundred thirteen million, two hundred thirty thousand".