Search a number
-
+
313022320000 = 275413491613
BaseRepresentation
bin1001000111000011001…
…01011000110110000000
31002220222001201102111021
410203201211120312000
520112032203220000
6355444522355224
731420661551015
oct4434145306600
91086861642437
10313022320000
1111082aa37035
12507ba65bb14
1323696a169c0
141121683b70c
158220a6e11a
hex48e1958d80

313022320000 has 320 divisors, whose sum is σ = 842272698960. Its totient is φ = 115153920000.

The previous prime is 313022319997. The next prime is 313022320063. The reversal of 313022320000 is 23220313.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 510639694 + ... + 510640306.

Almost surely, 2313022320000 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 313022320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421136349480).

313022320000 is an abundant number, since it is smaller than the sum of its proper divisors (529250378960).

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

313022320000 is an equidigital number, since it uses as much as digits as its factorization.

313022320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 313022320000 its reverse (23220313), we get a palindrome (313045540313).

The spelling of 313022320000 in words is "three hundred thirteen billion, twenty-two million, three hundred twenty thousand".