Search a number
-
+
101110400023 is a prime number
BaseRepresentation
bin101111000101010100…
…1100100010000010111
3100122222120001111201111
41132022221210100113
53124033230300043
6114241030435451
710206416135233
oct1361251442027
9318876044644
10101110400023
1139976204076
1217719802b87
1396c4892089
144c727095c3
15296b97709d
hex178aa64417

101110400023 has 2 divisors, whose sum is σ = 101110400024. Its totient is φ = 101110400022.

The previous prime is 101110399961. The next prime is 101110400071. The reversal of 101110400023 is 320004011101.

It is a strong prime.

It is an emirp because it is prime and its reverse (320004011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101110400023 is a prime.

It is a super-2 number, since 2×1011104000232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110399976 and 101110400012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110400093) 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, 50555200011 + 50555200012.

It is an arithmetic number, because the mean of its divisors is an integer number (50555200012).

Almost surely, 2101110400023 is an apocalyptic number.

101110400023 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110400023 is an equidigital number, since it uses as much as digits as its factorization.

101110400023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101110400023 its reverse (320004011101), we get a palindrome (421114411124).

The spelling of 101110400023 in words is "one hundred one billion, one hundred ten million, four hundred thousand, twenty-three".