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133416961 is a prime number
BaseRepresentation
bin1111111001111…
…00100000000001
3100022001021122221
413330330200001
5233123320321
621123331041
73210011506
oct774744001
9308037587
10133416961
1169346157
1238820a81
1321843b62
1413a0d4ad
15baa5e41
hex7f3c801

133416961 has 2 divisors, whose sum is σ = 133416962. Its totient is φ = 133416960.

The previous prime is 133416949. The next prime is 133416977. The reversal of 133416961 is 169614331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128686336 + 4730625 = 11344^2 + 2175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133416961 is a prime.

It is not a weakly prime, because it can be changed into another prime (133416991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66708480 + 66708481.

It is an arithmetic number, because the mean of its divisors is an integer number (66708481).

Almost surely, 2133416961 is an apocalyptic number.

It is an amenable number.

133416961 is a deficient number, since it is larger than the sum of its proper divisors (1).

133416961 is an equidigital number, since it uses as much as digits as its factorization.

133416961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 34.

The square root of 133416961 is about 11550.6260003517. The cubic root of 133416961 is about 510.9797403896.

It can be divided in two parts, 13341 and 6961, that added together give a palindrome (20302).

The spelling of 133416961 in words is "one hundred thirty-three million, four hundred sixteen thousand, nine hundred sixty-one".