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133515217 = 1129571733
BaseRepresentation
bin1111111010101…
…00011111010001
3100022020021110001
413331110133101
5233134441332
621125410001
73210601123
oct775243721
9308207401
10133515217
1169402a60
1238869901
13218797b4
1413a37213
15bac50e7
hex7f547d1

133515217 has 16 divisors (see below), whose sum is σ = 151145280. Its totient is φ = 116827200.

The previous prime is 133515163. The next prime is 133515241. The reversal of 133515217 is 712515331.

It is a cyclic number.

It is not a de Polignac number, because 133515217 - 219 = 132990929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133515247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181783 + ... + 182515.

It is an arithmetic number, because the mean of its divisors is an integer number (9446580).

Almost surely, 2133515217 is an apocalyptic number.

It is an amenable number.

133515217 is a deficient number, since it is larger than the sum of its proper divisors (17630063).

133515217 is a wasteful number, since it uses less digits than its factorization.

133515217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344.

The product of its digits is 3150, while the sum is 28.

The square root of 133515217 is about 11554.8784935195. The cubic root of 133515217 is about 511.1051479963.

It can be divided in two parts, 13351521 and 7, that added together give a triangular number (13351528 = T5167).

The spelling of 133515217 in words is "one hundred thirty-three million, five hundred fifteen thousand, two hundred seventeen".

Divisors: 1 11 29 319 571 733 6281 8063 16559 21257 182149 233827 418543 4603973 12137747 133515217