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133130617 is a prime number
BaseRepresentation
bin1111110111101…
…10100101111001
3100021111201212121
413323312211321
5233040134432
621113241241
73204406624
oct773664571
9307451777
10133130617
1169170004
1238703221
1321773719
1413976dbb
15ba4b197
hex7ef6979

133130617 has 2 divisors, whose sum is σ = 133130618. Its totient is φ = 133130616.

The previous prime is 133130603. The next prime is 133130659. The reversal of 133130617 is 716031331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105083001 + 28047616 = 10251^2 + 5296^2 .

It is a cyclic number.

It is not a de Polignac number, because 133130617 - 219 = 132606329 is a prime.

It is a super-2 number, since 2×1331306172 = 35447522365601378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133130591 and 133130600.

It is not a weakly prime, because it can be changed into another prime (133130317) 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 as a sum of consecutive naturals, namely, 66565308 + 66565309.

It is an arithmetic number, because the mean of its divisors is an integer number (66565309).

Almost surely, 2133130617 is an apocalyptic number.

It is an amenable number.

133130617 is a deficient number, since it is larger than the sum of its proper divisors (1).

133130617 is an equidigital number, since it uses as much as digits as its factorization.

133130617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 133130617 is about 11538.2241701225. The cubic root of 133130617 is about 510.6139178765.

Adding to 133130617 its reverse (716031331), we get a palindrome (849161948).

The spelling of 133130617 in words is "one hundred thirty-three million, one hundred thirty thousand, six hundred seventeen".