Search a number
-
+
313311220000 = 255415665561
BaseRepresentation
bin1001000111100101100…
…11011101000100100000
31002221201012100001210021
410203302303131010200
520113130133020000
6355533322443224
731431100300042
oct4436263350440
91087635301707
10313311220000
11110969019969
125087b363514
132371182934c
1411242d61a92
15823b0d911a
hex48f2cdd120

313311220000 has 60 divisors (see below), whose sum is σ = 770792647086. Its totient is φ = 125324480000.

The previous prime is 313311219997. The next prime is 313311220031. The reversal of 313311220000 is 22113313.

It can be written as a sum of positive squares in 5 ways, for example, as 64266306064 + 249044913936 = 253508^2 + 499044^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7812781 + ... + 7852780.

Almost surely, 2313311220000 is an apocalyptic number.

It is an amenable number.

313311220000 is an abundant number, since it is smaller than the sum of its proper divisors (457481427086).

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

313311220000 is an equidigital number, since it uses as much as digits as its factorization.

313311220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15665591 (or 15665568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 313311220000 its reverse (22113313), we get a palindrome (313333333313).

The spelling of 313311220000 in words is "three hundred thirteen billion, three hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 15665561 31331122 62662244 78327805 125324488 156655610 250648976 313311220 391639025 501297952 626622440 783278050 1253244880 1566556100 1958195125 2506489760 3133112200 3916390250 6266224400 7832780500 9790975625 12532448800 15665561000 19581951250 31331122000 39163902500 62662244000 78327805000 156655610000 313311220000