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133305345 = 345443743
BaseRepresentation
bin1111111001000…
…01010000000001
3100021211121120000
413330201100001
5233111232340
621121110213
73206035215
oct774412001
9307747500
10133305345
116927a308
1238788369
1321805104
14139c0945
15ba82d30
hex7f21401

133305345 has 40 divisors (see below), whose sum is σ = 239823936. Its totient is φ = 70840224.

The previous prime is 133305343. The next prime is 133305353. The reversal of 133305345 is 543503331.

It is a happy number.

133305345 is a `hidden beast` number, since 13 + 3 + 305 + 345 = 666.

It is not a de Polignac number, because 133305345 - 21 = 133305343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133305343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179044 + ... + 179786.

Almost surely, 2133305345 is an apocalyptic number.

133305345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133305345 is a deficient number, since it is larger than the sum of its proper divisors (106518591).

133305345 is an equidigital number, since it uses as much as digits as its factorization.

133305345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 133305345 is about 11545.7933898022. The cubic root of 133305345 is about 510.8372062212.

Adding to 133305345 its reverse (543503331), we get a palindrome (676808676).

The spelling of 133305345 in words is "one hundred thirty-three million, three hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 443 743 1329 2215 2229 3715 3987 6645 6687 11145 11961 19935 20061 33435 35883 59805 60183 100305 179415 300915 329149 987447 1645745 2962341 4937235 8887023 14811705 26661069 44435115 133305345