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133130013461 is a prime number
BaseRepresentation
bin111101111111100101…
…0101100101100010101
3110201122001121101220022
41323333022230230111
54140122240412321
6141054210114525
712422041305014
oct1737712545425
9421561541808
10133130013461
1151507470615
1221974b7ba45
13c7284aa9c3
14662d076a7b
1536e2a39dab
hex1eff2acb15

133130013461 has 2 divisors, whose sum is σ = 133130013462. Its totient is φ = 133130013460.

The previous prime is 133130013421. The next prime is 133130013469. The reversal of 133130013461 is 164310031331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90763612900 + 42366400561 = 301270^2 + 205831^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133130013461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133130013461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133130013469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565006730 + 66565006731.

It is an arithmetic number, because the mean of its divisors is an integer number (66565006731).

Almost surely, 2133130013461 is an apocalyptic number.

It is an amenable number.

133130013461 is a deficient number, since it is larger than the sum of its proper divisors (1).

133130013461 is an equidigital number, since it uses as much as digits as its factorization.

133130013461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133130013461 its reverse (164310031331), we get a palindrome (297440044792).

The spelling of 133130013461 in words is "one hundred thirty-three billion, one hundred thirty million, thirteen thousand, four hundred sixty-one".