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133314345 = 3255355897
BaseRepresentation
bin1111111001000…
…11011100101001
3100021212001220100
413330203130221
5233112024340
621121220013
73206103363
oct774433451
9307761810
10133314345
116928604a
1238791609
1321809238
14139c3d33
15ba85830
hex7f23729

133314345 has 24 divisors (see below), whose sum is σ = 235442376. Its totient is φ = 69758208.

The previous prime is 133314343. The next prime is 133314347. The reversal of 133314345 is 543413331.

133314345 is a `hidden beast` number, since 1 + 3 + 3 + 314 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (133314343) and next prime (133314347).

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 106440489 = 5184^2 + 10317^2 .

It is not a de Polignac number, because 133314345 - 21 = 133314343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133314343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25564 + ... + 30333.

It is an arithmetic number, because the mean of its divisors is an integer number (9810099).

Almost surely, 2133314345 is an apocalyptic number.

133314345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133314345 is a deficient number, since it is larger than the sum of its proper divisors (102128031).

133314345 is a wasteful number, since it uses less digits than its factorization.

133314345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55961 (or 55958 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 133314345 is about 11546.1831355648. The cubic root of 133314345 is about 510.8487022128.

Adding to 133314345 its reverse (543413331), we get a palindrome (676727676).

The spelling of 133314345 in words is "one hundred thirty-three million, three hundred fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 55897 167691 279485 503073 838455 2515365 2962541 8887623 14812705 26662869 44438115 133314345