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114016670753 is a prime number
BaseRepresentation
bin110101000101111101…
…1000101010000100001
3101220022000110222210112
41222023323011100201
53332001231431003
6124213432541105
711144303465546
oct1521373052041
9356260428715
10114016670753
1144399490317
121a11bb51795
13a9a070756b
145738836bcd
152e74a623d8
hex1a8bec5421

114016670753 has 2 divisors, whose sum is σ = 114016670754. Its totient is φ = 114016670752.

The previous prime is 114016670741. The next prime is 114016670777. The reversal of 114016670753 is 357076610411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64004952064 + 50011718689 = 252992^2 + 223633^2 .

It is a cyclic number.

It is not a de Polignac number, because 114016670753 - 28 = 114016670497 is a prime.

It is a super-3 number, since 3×1140166707533 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114016670753.

It is not a weakly prime, because it can be changed into another prime (114016670723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57008335376 + 57008335377.

It is an arithmetic number, because the mean of its divisors is an integer number (57008335377).

Almost surely, 2114016670753 is an apocalyptic number.

It is an amenable number.

114016670753 is a deficient number, since it is larger than the sum of its proper divisors (1).

114016670753 is an equidigital number, since it uses as much as digits as its factorization.

114016670753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 114016670753 in words is "one hundred fourteen billion, sixteen million, six hundred seventy thousand, seven hundred fifty-three".