Search a number
-
+
114723104941 is a prime number
BaseRepresentation
bin110101011011000000…
…1111010100010101101
3101222010020202120022201
41222312001322202231
53334423103324231
6124411510141501
711200642205464
oct1526601724255
9358106676281
10114723104941
1144721224825
121a298651891
13aa83b8a463
1457a45a79db
152eb6aa6161
hex1ab607a8ad

114723104941 has 2 divisors, whose sum is σ = 114723104942. Its totient is φ = 114723104940.

The previous prime is 114723104927. The next prime is 114723104987. The reversal of 114723104941 is 149401327411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105501536100 + 9221568841 = 324810^2 + 96029^2 .

It is a cyclic number.

It is not a de Polignac number, because 114723104941 - 221 = 114721007789 is a prime.

It is a super-2 number, since 2×1147231049412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114723104941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114723104141) 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, 57361552470 + 57361552471.

It is an arithmetic number, because the mean of its divisors is an integer number (57361552471).

Almost surely, 2114723104941 is an apocalyptic number.

It is an amenable number.

114723104941 is a deficient number, since it is larger than the sum of its proper divisors (1).

114723104941 is an equidigital number, since it uses as much as digits as its factorization.

114723104941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 114723104941 in words is "one hundred fourteen billion, seven hundred twenty-three million, one hundred four thousand, nine hundred forty-one".