Search a number
-
+
313231123300 = 2252151101920357
BaseRepresentation
bin1001000111011100000…
…01111010001101100100
31002221111121121201202211
410203232001322031210
520112444131421200
6355521342013204
731426105422004
oct4435601721544
91087447551684
10313231123300
11110927892047
1250858577204
13236cb063c54
1411236472004
158234066aba
hex48ee07a364

313231123300 has 72 divisors (see below), whose sum is σ = 684918037440. Its totient is φ = 124334448000.

The previous prime is 313231123297. The next prime is 313231123327. The reversal of 313231123300 is 3321132313.

It is a super-2 number, since 2×3132311233002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15376722 + ... + 15397078.

It is an arithmetic number, because the mean of its divisors is an integer number (9512750520).

Almost surely, 2313231123300 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 313231123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342459018720).

313231123300 is an abundant number, since it is smaller than the sum of its proper divisors (371686914140).

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

313231123300 is a wasteful number, since it uses less digits than its factorization.

313231123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21541 (or 21534 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 313231123300 its reverse (3321132313), we get a palindrome (316552255613).

The spelling of 313231123300 in words is "three hundred thirteen billion, two hundred thirty-one million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1019 1510 2038 3020 3775 4076 5095 7550 10190 15100 20357 20380 25475 40714 50950 81428 101785 101900 153869 203570 307738 407140 508925 615476 769345 1017850 1538690 2035700 3073907 3077380 3846725 6147814 7693450 12295628 15369535 15386900 20743783 30739070 41487566 61478140 76847675 82975132 103718915 153695350 207437830 307390700 414875660 518594575 1037189150 2074378300 3132311233 6264622466 12529244932 15661556165 31323112330 62646224660 78307780825 156615561650 313231123300