Search a number
-
+
303131311013120 = 2853127271280129
BaseRepresentation
bin100010011101100100100001…
…0000111001111110100000000
31110202022001220021001110211112
41010323021002013033310000
5304213000411104404440
62552412333554302452
7120564341321101202
oct10473110207176400
91422261807043745
10303131311013120
11886502a34a4947
1229bb8a66887a28
131001b2105cc245
1454bd8c2d84772
15250a21b07e965
hex113b2421cfd00

303131311013120 has 144 divisors (see below), whose sum is σ = 749546772280320. Its totient is φ = 117336431001600.

The previous prime is 303131311013039. The next prime is 303131311013137. The reversal of 303131311013120 is 21310113131303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081973216 + ... + 1082253344.

Almost surely, 2303131311013120 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 303131311013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374773386140160).

303131311013120 is an abundant number, since it is smaller than the sum of its proper divisors (446415461267200).

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

303131311013120 is a wasteful number, since it uses less digits than its factorization.

303131311013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307452 (or 307438 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 303131311013120 its reverse (21310113131303), we get a palindrome (324441424144423).

The spelling of 303131311013120 in words is "three hundred three trillion, one hundred thirty-one billion, three hundred eleven million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 7936 9920 19840 27271 39680 54542 109084 136355 218168 272710 280129 436336 545420 560258 845401 872672 1090840 1120516 1400645 1690802 1745344 2181680 2241032 2801290 3381604 3490688 4227005 4363360 4482064 5602580 6763208 6981376 8454010 8683999 8726720 8964128 11205160 13526416 16908020 17367998 17453440 17928256 22410320 27052832 33816040 34735996 34906880 35856512 43419995 44820640 54105664 67632080 69471992 71713024 86839990 89641280 108211328 135264160 138943984 173679980 179282560 216422656 270528320 277887968 347359960 358565120 541056640 555775936 694719920 1082113280 1111551872 1389439840 2223103744 2778879680 5557759360 7639397959 11115518720 15278795918 30557591836 38196989795 61115183672 76393979590 122230367344 152787959180 236821336729 244460734688 305575918360 473642673458 488921469376 611151836720 947285346916 977842938752 1184106683645 1222303673440 1894570693832 1955685877504 2368213367290 2444607346880 3789141387664 4736426734580 4889214693760 7578282775328 9472853469160 9778429387520 15156565550656 18945706938320 30313131101312 37891413876640 60626262202624 75782827753280 151565655506560 303131311013120