Search a number
-
+
100131023023 is a prime number
BaseRepresentation
bin101110101000001000…
…1100010100010101111
3100120110022012000001021
41131100101202202233
53120032020214043
6113555523155011
710143224436553
oct1352021424257
9316408160037
10100131023023
1139513396699
12174a5815a67
1395999c5a65
144bbc609863
1529109bb3ed
hex17504628af

100131023023 has 2 divisors, whose sum is σ = 100131023024. Its totient is φ = 100131023022.

The previous prime is 100131023011. The next prime is 100131023033. The reversal of 100131023023 is 320320131001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100131023023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131022988 and 100131023006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131023033) 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, 50065511511 + 50065511512.

It is an arithmetic number, because the mean of its divisors is an integer number (50065511512).

Almost surely, 2100131023023 is an apocalyptic number.

100131023023 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131023023 is an equidigital number, since it uses as much as digits as its factorization.

100131023023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100131023023 its reverse (320320131001), we get a palindrome (420451154024).

The spelling of 100131023023 in words is "one hundred billion, one hundred thirty-one million, twenty-three thousand, twenty-three".