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313112330420 = 22576920358409
BaseRepresentation
bin1001000111001101111…
…00110000000010110100
31002221012100002102120112
410203212330300002310
520112223224033140
6355501455522152
731423133616041
oct4434674600264
91087170072515
10313112330420
1111087682520a
1250824829358
13236ac5705c6
141122478c1c8
1582288edc65
hex48e6f300b4

313112330420 has 24 divisors (see below), whose sum is σ = 658390979400. Its totient is φ = 125082058752.

The previous prime is 313112330413. The next prime is 313112330423. The reversal of 313112330420 is 24033211313.

It can be written as a sum of positive squares in 4 ways, for example, as 66949492516 + 246162837904 = 258746^2 + 496148^2 .

It is a super-2 number, since 2×3131123304202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313112330423) 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 7 ways as a sum of consecutive naturals, for example, 10163825 + ... + 10194584.

It is an arithmetic number, because the mean of its divisors is an integer number (27432957475).

Almost surely, 2313112330420 is an apocalyptic number.

It is an amenable number.

313112330420 is an abundant number, since it is smaller than the sum of its proper divisors (345278648980).

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

313112330420 is a wasteful number, since it uses less digits than its factorization.

313112330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359187 (or 20359185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 313112330420 its reverse (24033211313), we get a palindrome (337145541733).

The spelling of 313112330420 in words is "three hundred thirteen billion, one hundred twelve million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 7690 15380 20358409 40716818 81433636 101792045 203584090 407168180 15655616521 31311233042 62622466084 78278082605 156556165210 313112330420