Search a number
-
+
313203220204 = 227315913744641
BaseRepresentation
bin1001000111011000101…
…11011101111011101100
31002221102200010002220211
410203230113131323230
520112420011021304
6355514503552204
731425316305610
oct4435427357354
91087380102824
10313203220204
11110913064036
125084b15b664
13236c5344544
141123288b340
1582318a4204
hex48ec5ddeec

313203220204 has 96 divisors (see below), whose sum is σ = 662387281920. Its totient is φ = 126763315200.

The previous prime is 313203220181. The next prime is 313203220219. The reversal of 313203220204 is 402022302313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6993724 + ... + 7038364.

It is an arithmetic number, because the mean of its divisors is an integer number (6899867520).

Almost surely, 2313203220204 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 313203220204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331193640960).

313203220204 is an abundant number, since it is smaller than the sum of its proper divisors (349184061716).

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

313203220204 is a wasteful number, since it uses less digits than its factorization.

313203220204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44879 (or 44877 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 313203220204 its reverse (402022302313), we get a palindrome (715225522517).

The spelling of 313203220204 in words is "three hundred thirteen billion, two hundred three million, two hundred twenty thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 59 62 118 124 137 217 236 274 413 434 548 826 868 959 1652 1829 1918 3658 3836 4247 7316 8083 8494 12803 16166 16988 25606 29729 32332 44641 51212 56581 59458 89282 113162 118916 178564 226324 250573 312487 501146 624974 1002292 1249948 1383871 1754011 2633819 2767742 3508022 5267638 5535484 6115817 7016044 9687097 10535276 12231634 18436733 19374194 24463268 36873466 38748388 42810719 73746932 81648389 85621438 163296778 171242876 189590327 326593556 360833203 379180654 571538723 721666406 758361308 1143077446 1327132289 1443332812 2286154892 2525832421 2654264578 5051664842 5308529156 10103329684 11185829293 22371658586 44743317172 78300805051 156601610102 313203220204