Search a number
-
+
10112011031 is a prime number
BaseRepresentation
bin10010110101011100…
…10000101100010111
3222002201112101101002
421122232100230113
5131202133323111
64351223253515
7505404450503
oct113256205427
928081471332
1010112011031
114319a6a611
121b625aa29b
13c51c77ca5
146bcd9d303
153e2b3663b
hex25ab90b17

10112011031 has 2 divisors, whose sum is σ = 10112011032. Its totient is φ = 10112011030.

The previous prime is 10112010991. The next prime is 10112011051. The reversal of 10112011031 is 13011021101.

It is a happy number.

10112011031 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10112011031 - 218 = 10111748887 is a prime.

It is a super-2 number, since 2×101120110312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056005515 + 5056005516.

It is an arithmetic number, because the mean of its divisors is an integer number (5056005516).

Almost surely, 210112011031 is an apocalyptic number.

10112011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112011031 is an equidigital number, since it uses as much as digits as its factorization.

10112011031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10112011031 its reverse (13011021101), we get a palindrome (23123032132).

The spelling of 10112011031 in words is "ten billion, one hundred twelve million, eleven thousand, thirty-one".