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133006225697 is a prime number
BaseRepresentation
bin111101111011111001…
…0011111000100100001
3110201022102200100000022
41323313302133010201
54134344043210242
6141034025003225
712416006156522
oct1736762370441
9421272610008
10133006225697
1151453601a84
122193b623515
13c7089589c7
14661a852849
1536d6c370d2
hex1ef7c9f121

133006225697 has 2 divisors, whose sum is σ = 133006225698. Its totient is φ = 133006225696.

The previous prime is 133006225633. The next prime is 133006225721. The reversal of 133006225697 is 796522600331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95261118736 + 37745106961 = 308644^2 + 194281^2 .

It is an emirp because it is prime and its reverse (796522600331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133006225697 - 26 = 133006225633 is a prime.

It is a super-2 number, since 2×1330062256972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133006222697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66503112848 + 66503112849.

It is an arithmetic number, because the mean of its divisors is an integer number (66503112849).

Almost surely, 2133006225697 is an apocalyptic number.

It is an amenable number.

133006225697 is a deficient number, since it is larger than the sum of its proper divisors (1).

133006225697 is an equidigital number, since it uses as much as digits as its factorization.

133006225697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 133006225697 in words is "one hundred thirty-three billion, six million, two hundred twenty-five thousand, six hundred ninety-seven".