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313301022120 = 233351953288077
BaseRepresentation
bin1001000111100100011…
…00100011010110101000
31002221200111010221221000
410203302030203112220
520113120030201440
6355532320115000
731430614514442
oct4436214432650
91087614127830
10313301022120
11110963294069
1250877a65a60
132370c6986b8
1411241869492
15823a272730
hex48f23235a8

313301022120 has 256 divisors, whose sum is σ = 1120047264000. Its totient is φ = 77656071168.

The previous prime is 313301022077. The next prime is 313301022127. The reversal of 313301022120 is 21220103313.

It is a super-2 number, since 2×3133010221202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313301022093 and 313301022102.

It is not an unprimeable number, because it can be changed into a prime (313301022127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 943522 + ... + 1231598.

It is an arithmetic number, because the mean of its divisors is an integer number (4375184625).

Almost surely, 2313301022120 is an apocalyptic number.

313301022120 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 313301022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560023632000).

313301022120 is an abundant number, since it is smaller than the sum of its proper divisors (806746241880).

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

313301022120 is a wasteful number, since it uses less digits than its factorization.

313301022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288169 (or 288159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313301022120 its reverse (21220103313), we get a palindrome (334521125433).

The spelling of 313301022120 in words is "three hundred thirteen billion, three hundred one million, twenty-two thousand, one hundred twenty".