Search a number
-
+
332303013230100 = 2235211743135528779
BaseRepresentation
bin100101110001110100101001…
…1000011111011011000010100
31121120120212011100100011200020
41023203221103003323120110
5322023423032341330400
63134425521413345140
7126665046306504303
oct11343512303733024
91546525140304606
10332303013230100
1196977a09934a70
123132a6729381b0
1311356069271403
145c0b7a1a6243a
152863e6d5cd2a0
hex12e3a530fb614

332303013230100 has 144 divisors (see below), whose sum is σ = 1050280822725120. Its totient is φ = 80449882620800.

The previous prime is 332303013230099. The next prime is 332303013230117. The reversal of 332303013230100 is 1032310303233.

It is a super-2 number, since 2×3323030132301002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65312490 + ... + 70216289.

It is an arithmetic number, because the mean of its divisors is an integer number (7293616824480).

Almost surely, 2332303013230100 is an apocalyptic number.

332303013230100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332303013230100 is an abundant number, since it is smaller than the sum of its proper divisors (717977809495020).

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

332303013230100 is a wasteful number, since it uses less digits than its factorization.

332303013230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135529550 (or 135529543 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 332303013230100 its reverse (1032310303233), we get a palindrome (333335323533333).

The spelling of 332303013230100 in words is "three hundred thirty-two trillion, three hundred three billion, thirteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 743 825 1100 1486 1650 2229 2972 3300 3715 4458 7430 8173 8916 11145 14860 16346 18575 22290 24519 32692 37150 40865 44580 49038 55725 74300 81730 98076 111450 122595 163460 204325 222900 245190 408650 490380 612975 817300 1225950 2451900 135528779 271057558 406586337 542115116 677643895 813172674 1355287790 1490816569 1626345348 2032931685 2710575580 2981633138 3388219475 4065863370 4472449707 5963266276 6776438950 7454082845 8131726740 8944899414 10164658425 13552877900 14908165690 17889798828 20329316850 22362248535 29816331380 37270414225 40658633700 44724497070 74540828450 89448994140 100697882797 111811242675 149081656900 201395765594 223622485350 302093648391 402791531188 447244970700 503489413985 604187296782 1006978827970 1107676710767 1208374593564 1510468241955 2013957655940 2215353421534 2517447069925 3020936483910 3323030132301 4430706843068 5034894139850 5538383553835 6041872967820 6646060264602 7552341209775 10069788279700 11076767107670 13292120529204 15104682419550 16615150661505 22153534215340 27691917769175 30209364839100 33230301323010 55383835538350 66460602646020 83075753307525 110767671076700 166151506615050 332303013230100