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133300233 = 321137151241
BaseRepresentation
bin1111111001000…
…00000000001001
3100021211100112200
413330200000021
5233111101413
621121030413
73206014263
oct774400011
9307740480
10133300233
1169276490
1238785409
13218029a1
14139bcb33
15ba81573
hex7f20009

133300233 has 48 divisors (see below), whose sum is σ = 218055552. Its totient is φ = 77760000.

The previous prime is 133300207. The next prime is 133300243. The reversal of 133300233 is 332003331.

133300233 is a `hidden beast` number, since 133 + 300 + 233 = 666.

It is not a de Polignac number, because 133300233 - 26 = 133300169 is a prime.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (133300243) 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, 552993 + ... + 553233.

It is an arithmetic number, because the mean of its divisors is an integer number (4542824).

Almost surely, 2133300233 is an apocalyptic number.

It is an amenable number.

133300233 is a deficient number, since it is larger than the sum of its proper divisors (84755319).

133300233 is a wasteful number, since it uses less digits than its factorization.

133300233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133300233 is about 11545.5720083502. The cubic root of 133300233 is about 510.8306762675.

Adding to 133300233 its reverse (332003331), we get a palindrome (465303564).

The spelling of 133300233 in words is "one hundred thirty-three million, three hundred thousand, two hundred thirty-three".

Divisors: 1 3 9 11 33 37 99 111 151 241 333 407 453 723 1221 1359 1661 2169 2651 3663 4983 5587 7953 8917 14949 16761 23859 26751 36391 50283 61457 80253 98087 109173 184371 294261 327519 400301 553113 882783 1200903 1346467 3602709 4039401 12118203 14811137 44433411 133300233