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81133305 = 35112321379
BaseRepresentation
bin1001101010111…
…11111011111001
312122122222222020
410311133323321
5131232231210
612014545053
72003423151
oct465377371
9178588866
1081133305
1141885720
1223208189
1313a69196
14aabd761
1571c9770
hex4d5fef9

81133305 has 32 divisors (see below), whose sum is σ = 147778560. Its totient is φ = 37625280.

The previous prime is 81133289. The next prime is 81133309. The reversal of 81133305 is 50333118.

It is not a de Polignac number, because 81133305 - 24 = 81133289 is a prime.

It is a super-2 number, since 2×811333052 = 13165226360446050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81133309) 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 31 ways as a sum of consecutive naturals, for example, 6895 + ... + 14484.

It is an arithmetic number, because the mean of its divisors is an integer number (4618080).

Almost surely, 281133305 is an apocalyptic number.

It is an amenable number.

81133305 is a deficient number, since it is larger than the sum of its proper divisors (66645255).

81133305 is a wasteful number, since it uses less digits than its factorization.

81133305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21421.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 81133305 is about 9007.4027888177. The cubic root of 81133305 is about 432.9120978895.

It can be divided in two parts, 81 and 133305, that added together give a triangular number (133386 = T516).

The spelling of 81133305 in words is "eighty-one million, one hundred thirty-three thousand, three hundred five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 253 345 759 1265 3795 21379 64137 106895 235169 320685 491717 705507 1175845 1475151 2458585 3527535 5408887 7375755 16226661 27044435 81133305