Search a number
-
+
10012022112023 is a prime number
BaseRepresentation
bin1001000110110001101100…
…0001010111111100010111
31022110010210000221211011122
42101230123001113330113
52303014110130041043
633143243124354155
72052226145534501
oct221543301277427
938403700854148
1010012022112023
113210090518798
121158491b4595b
1357818ba62889
14268827a64d71
151256805d0368
hex91b1b057f17

10012022112023 has 2 divisors, whose sum is σ = 10012022112024. Its totient is φ = 10012022112022.

The previous prime is 10012022112007. The next prime is 10012022112031. The reversal of 10012022112023 is 32021122021001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10012022112023 - 24 = 10012022112007 is a prime.

It is a super-2 number, since 2×100120221120232 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012022111992 and 10012022112010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012022012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006011056011 + 5006011056012.

It is an arithmetic number, because the mean of its divisors is an integer number (5006011056012).

Almost surely, 210012022112023 is an apocalyptic number.

10012022112023 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012022112023 is an equidigital number, since it uses as much as digits as its factorization.

10012022112023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10012022112023 its reverse (32021122021001), we get a palindrome (42033144133024).

The spelling of 10012022112023 in words is "ten trillion, twelve billion, twenty-two million, one hundred twelve thousand, twenty-three".