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233300132103330 = 23254692075524691
BaseRepresentation
bin110101000010111101101011…
…100000000000010010100010
31010121001021102100002122221200
4311002331223200000102202
5221034342132304301310
62144104333500502030
7100066243522034415
oct6502755340002242
91117037370078850
10233300132103330
11683780374a5586
12221bb16624a916
13a024153530876
144187b02795b7c
151be8a126629c0
hexd42f6b8004a2

233300132103330 has 48 divisors (see below), whose sum is σ = 606581746041024. Its totient is φ = 62213224707360.

The previous prime is 233300132103307. The next prime is 233300132103331. The reversal of 233300132103330 is 33301231003332.

233300132103330 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 0 + 0 + 1 + 321 + 0 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233300132103294 and 233300132103303.

It is not an unprimeable number, because it can be changed into a prime (233300132103331) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39466285 + ... + 44990975.

It is an arithmetic number, because the mean of its divisors is an integer number (12637119709188).

Almost surely, 2233300132103330 is an apocalyptic number.

233300132103330 is an abundant number, since it is smaller than the sum of its proper divisors (373281613937694).

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

233300132103330 is a wasteful number, since it uses less digits than its factorization.

233300132103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993911 (or 5993908 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 233300132103330 its reverse (33301231003332), we get a palindrome (266601363106662).

The spelling of 233300132103330 in words is "two hundred thirty-three trillion, three hundred billion, one hundred thirty-two million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 469207 938414 1407621 2346035 2815242 4222863 4692070 5524691 7038105 8445726 11049382 14076210 16574073 21114315 27623455 33148146 42228630 49722219 55246910 82870365 99444438 165740730 248611095 497222190 2592223690037 5184447380074 7776671070111 12961118450185 15553342140222 23330013210333 25922236900370 38883355350555 46660026420666 77766710701110 116650066051665 233300132103330