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232103304520 = 235171015775857
BaseRepresentation
bin1101100000101001101…
…1110101110101001000
3211012002200022112020221
43120022123311311020
512300321421221040
6254343215155424
722524510352003
oct3301233656510
9735080275227
10232103304520
118a4862a002a
1238b96b15b74
1318b6c38b259
14b33b9d653a
156086a6974a
hex360a6f5d48

232103304520 has 128 divisors (see below), whose sum is σ = 559490081760. Its totient is φ = 86350233600.

The previous prime is 232103304479. The next prime is 232103304539. The reversal of 232103304520 is 25403301232.

232103304520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 224465593284 + 7637711236 = 473778^2 + 87394^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39625432 + ... + 39631288.

Almost surely, 2232103304520 is an apocalyptic number.

232103304520 is a gapful number since it is divisible by the number (20) 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 232103304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279745040880).

232103304520 is an abundant number, since it is smaller than the sum of its proper divisors (327386777240).

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

232103304520 is a wasteful number, since it uses less digits than its factorization.

232103304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 232103304520 its reverse (25403301232), we get a palindrome (257506605752).

The spelling of 232103304520 in words is "two hundred thirty-two billion, one hundred three million, three hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 340 404 505 577 680 808 1010 1154 1717 2020 2308 2885 3434 4040 4616 5770 5857 6868 8585 9809 11540 11714 13736 17170 19618 23080 23428 29285 34340 39236 46856 49045 58277 58570 68680 78472 98090 99569 116554 117140 196180 199138 233108 234280 291385 392360 398276 466216 497845 582770 591557 796552 990709 995690 1165540 1183114 1981418 1991380 2331080 2366228 2957785 3379489 3962836 3982760 4732456 4953545 5915570 6758978 7925672 9907090 10056469 11831140 13517956 16897445 19814180 20112938 23662280 27035912 33794890 39628360 40225876 50282345 57451313 67589780 80451752 100564690 114902626 135179560 201129380 229805252 287256565 341328389 402258760 459610504 574513130 682656778 1149026260 1365313556 1706641945 2298052520 2730627112 3413283890 5802582613 6826567780 11605165226 13653135560 23210330452 29012913065 46420660904 58025826130 116051652260 232103304520