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114117217649 is a prime number
BaseRepresentation
bin110101001000111101…
…0101000110101110001
3101220120000200022012122
41222101322220311301
53332203001431044
6124231424004025
711146634226311
oct1522172506561
9356500608178
10114117217649
1144440215726
121a149760615
13a9b84acc76
145747d2b441
152e7d7c3dee
hex1a91ea8d71

114117217649 has 2 divisors, whose sum is σ = 114117217650. Its totient is φ = 114117217648.

The previous prime is 114117217607. The next prime is 114117217673. The reversal of 114117217649 is 946712711411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81029607649 + 33087610000 = 284657^2 + 181900^2 .

It is an emirp because it is prime and its reverse (946712711411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114117217649 - 220 = 114116169073 is a prime.

It is not a weakly prime, because it can be changed into another prime (114117217679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57058608824 + 57058608825.

It is an arithmetic number, because the mean of its divisors is an integer number (57058608825).

Almost surely, 2114117217649 is an apocalyptic number.

It is an amenable number.

114117217649 is a deficient number, since it is larger than the sum of its proper divisors (1).

114117217649 is an equidigital number, since it uses as much as digits as its factorization.

114117217649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 44.

The spelling of 114117217649 in words is "one hundred fourteen billion, one hundred seventeen million, two hundred seventeen thousand, six hundred forty-nine".