Search a number
-
+
203331323013024 = 25331180751377999
BaseRepresentation
bin101110001110110111000011…
…010001111010011110100000
3222122221021200111121021211010
4232032313003101322132200
5203122340022142404044
62000241041551020520
760554126506602033
oct5616670321723640
9878837614537733
10203331323013024
115987336a005648
121a97ab8080a740
13895c0a51173cb
14382d407a9901a
1518791aad04bb9
hexb8edc347a7a0

203331323013024 has 96 divisors (see below), whose sum is σ = 550966800384000. Its totient is φ = 65590212960000.

The previous prime is 203331323013023. The next prime is 203331323013053. The reversal of 203331323013024 is 420310323133302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 203331323012982 and 203331323013000.

It is not an unprimeable number, because it can be changed into a prime (203331323013023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537725977 + ... + 538103975.

It is an arithmetic number, because the mean of its divisors is an integer number (5739237504000).

Almost surely, 2203331323013024 is an apocalyptic number.

203331323013024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203331323013024 is an abundant number, since it is smaller than the sum of its proper divisors (347635477370976).

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

203331323013024 is a wasteful number, since it uses less digits than its factorization.

203331323013024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558794 (or 558786 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 203331323013024 its reverse (420310323133302), we get a palindrome (623641646146326).

The spelling of 203331323013024 in words is "two hundred three trillion, three hundred thirty-one billion, three hundred twenty-three million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 180751 361502 377999 542253 723004 755998 1084506 1133997 1446008 1511996 2169012 2267994 2892016 3023992 4338024 4535988 5603281 5784032 6047984 8676048 9071976 11206562 11717969 12095968 16809843 17352096 18143952 22413124 23435938 33619686 35153907 36287904 44826248 46871876 67239372 70307814 89652496 93743752 134478744 140615628 179304992 187487504 268957488 281231256 374975008 537914976 562462512 1124925024 68323697249 136647394498 204971091747 273294788996 409942183494 546589577992 819884366988 1093179155984 1639768733976 2118034614719 2186358311968 3279537467952 4236069229438 6354103844157 6559074935904 8472138458876 12708207688314 16944276917752 25416415376628 33888553835504 50832830753256 67777107671008 101665661506512 203331323013024