Search a number
-
+
114511204450109 is a prime number
BaseRepresentation
bin11010000010010110110111…
…101010011111111100111101
3120000110011102201121020100102
4122002112313222133330331
5110002122421314400414
61043313415431210445
733056106252615545
oct3202266752377475
9500404381536312
10114511204450109
1133539a2467a485
1210a15056816a25
134bb848b5c6c9c
14203c52c594325
15d38a74cc7ede
hex6825b7a9ff3d

114511204450109 has 2 divisors, whose sum is σ = 114511204450110. Its totient is φ = 114511204450108.

The previous prime is 114511204450091. The next prime is 114511204450229. The reversal of 114511204450109 is 901054402115411.

It is a happy number.

Together with previous prime (114511204450091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114340313158009 + 170891292100 = 10693003^2 + 413390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114511204450109 is a prime.

It is a super-2 number, since 2×1145112044501092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114511264450109) 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, 57255602225054 + 57255602225055.

It is an arithmetic number, because the mean of its divisors is an integer number (57255602225055).

Almost surely, 2114511204450109 is an apocalyptic number.

It is an amenable number.

114511204450109 is a deficient number, since it is larger than the sum of its proper divisors (1).

114511204450109 is an equidigital number, since it uses as much as digits as its factorization.

114511204450109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 114511204450109 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred four million, four hundred fifty thousand, one hundred nine".