Search a number
-
+
313102131320 = 235112401161323
BaseRepresentation
bin1001000111001100101…
…01110110000001111000
31002221011121220021001002
410203212111312001320
520112213121200240
6355500453144132
731422651130046
oct4434625660170
91087147807032
10313102131320
11110870a99500
125082132b048
13236aa40c234
1411223295396
158227a86d15
hex48e6576078

313102131320 has 96 divisors (see below), whose sum is σ = 776281408560. Its totient is φ = 113570688000.

The previous prime is 313102131311. The next prime is 313102131347. The reversal of 313102131320 is 23131201313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313102131292 and 313102131301.

It is a congruent number.

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, 1860179 + ... + 2021501.

Almost surely, 2313102131320 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 313102131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388140704280).

313102131320 is an abundant number, since it is smaller than the sum of its proper divisors (463179277240).

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

313102131320 is a wasteful number, since it uses less digits than its factorization.

313102131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161757 (or 161742 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 313102131320 its reverse (23131201313), we get a palindrome (336233332633).

The spelling of 313102131320 in words is "three hundred thirteen billion, one hundred two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 401 440 484 605 802 968 1210 1604 2005 2420 3208 4010 4411 4840 8020 8822 16040 17644 22055 35288 44110 48521 88220 97042 161323 176440 194084 242605 322646 388168 485210 645292 806615 970420 1290584 1613230 1774553 1940840 3226460 3549106 6452920 7098212 8872765 14196424 17745530 19520083 35491060 39040166 64690523 70982120 78080332 97600415 129381046 156160664 195200830 258762092 323452615 390401660 517524184 646905230 711595753 780803320 1293810460 1423191506 2587620920 2846383012 3557978765 5692766024 7115957530 7827553283 14231915060 15655106566 28463830120 31310213132 39137766415 62620426264 78275532830 156551065660 313102131320