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313301244420 = 2232519409922349
BaseRepresentation
bin1001000111100100011…
…01011001101000000100
31002221200111120020212100
410203302031121220010
520113120104310140
6355532324552100
731430616431523
oct4436215315004
91087614506770
10313301244420
1111096342608a
1250877b52630
132370c745938
14112418c64ba
15823a2b8530
hex48f2359a04

313301244420 has 144 divisors (see below), whose sum is σ = 1000654200000. Its totient is φ = 79126937856.

The previous prime is 313301244407. The next prime is 313301244427. The reversal of 313301244420 is 24442103313.

313301244420 is a `hidden beast` number, since 313 + 301 + 2 + 4 + 4 + 42 + 0 = 666.

It is a super-2 number, since 2×3133012444202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313301244427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14007406 + ... + 14029754.

It is an arithmetic number, because the mean of its divisors is an integer number (6948987500).

Almost surely, 2313301244420 is an apocalyptic number.

313301244420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313301244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500327100000).

313301244420 is an abundant number, since it is smaller than the sum of its proper divisors (687352955580).

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

313301244420 is a wasteful number, since it uses less digits than its factorization.

313301244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26482 (or 26477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313301244420 its reverse (24442103313), we get a palindrome (337743347733).

The spelling of 313301244420 in words is "three hundred thirteen billion, three hundred one million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 4099 8198 12297 16396 20495 22349 24594 36891 40990 44698 49188 61485 67047 73782 77881 81980 89396 111745 122970 134094 147564 155762 184455 201141 223490 233643 245940 268188 311524 335235 368910 389405 402282 424631 446980 467286 670470 700929 737820 778810 804564 849262 934572 1005705 1168215 1273893 1340940 1401858 1557620 1698524 2011410 2123155 2336430 2547786 2803716 3504645 3821679 4022820 4246310 4672860 5095572 6369465 7009290 7643358 8492620 12738930 14018580 15286716 19108395 25477860 38216790 76433580 91608551 183217102 274825653 366434204 458042755 549651306 824476959 916085510 1099302612 1374128265 1648953918 1740562469 1832171020 2748256530 3297907836 3481124938 4122384795 5221687407 5496513060 6962249876 8244769590 8702812345 10443374814 15665062221 16489539180 17405624690 20886749628 26108437035 31330124442 34811249380 52216874070 62660248884 78325311105 104433748140 156650622210 313301244420