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10114413131 is a prime number
BaseRepresentation
bin10010110101101110…
…11011001001001011
3222002220001102102202
421122313123021023
5131203242210011
64351350550415
7505434043634
oct113267331113
928086042382
1010114413131
114320360319
121b6336840b
13c52609454
146bd42688b
153e2e5d23b
hex25addb24b

10114413131 has 2 divisors, whose sum is σ = 10114413132. Its totient is φ = 10114413130.

The previous prime is 10114413103. The next prime is 10114413151. The reversal of 10114413131 is 13131441101.

It is an a-pointer prime, because the next prime (10114413151) can be obtained adding 10114413131 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10114413131 - 222 = 10110218827 is a prime.

It is a super-2 number, since 2×101144131312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10114413151) 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, 5057206565 + 5057206566.

It is an arithmetic number, because the mean of its divisors is an integer number (5057206566).

Almost surely, 210114413131 is an apocalyptic number.

10114413131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114413131 is an equidigital number, since it uses as much as digits as its factorization.

10114413131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10114413131 its reverse (13131441101), we get a palindrome (23245854232).

The spelling of 10114413131 in words is "ten billion, one hundred fourteen million, four hundred thirteen thousand, one hundred thirty-one".