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114252513133049 is a prime number
BaseRepresentation
bin11001111110100101111100…
…011101011100000111111001
3112222112102201002020201121022
4121332211330131130013321
5104433403121330224144
61042554514022352225
733031320532660154
oct3176457435340771
9488472632221538
10114252513133049
113344a24511a075
1210992a9b58b675
134b99c72a05b45
14202dbcb760c9b
15d31e83e58cee
hex67e97c75c1f9

114252513133049 has 2 divisors, whose sum is σ = 114252513133050. Its totient is φ = 114252513133048.

The previous prime is 114252513133037. The next prime is 114252513133079. The reversal of 114252513133049 is 940331315252411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94978376119225 + 19274137013824 = 9745685^2 + 4390232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114252513133049 is a prime.

It is not a weakly prime, because it can be changed into another prime (114252513133009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57126256566524 + 57126256566525.

It is an arithmetic number, because the mean of its divisors is an integer number (57126256566525).

Almost surely, 2114252513133049 is an apocalyptic number.

It is an amenable number.

114252513133049 is a deficient number, since it is larger than the sum of its proper divisors (1).

114252513133049 is an equidigital number, since it uses as much as digits as its factorization.

114252513133049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 114252513133049 in words is "one hundred fourteen trillion, two hundred fifty-two billion, five hundred thirteen million, one hundred thirty-three thousand, forty-nine".