Search a number
-
+
100023313021 is a prime number
BaseRepresentation
bin101110100100111011…
…0101010001001111101
3100120011210111202200221
41131021312222021331
53114321432004041
6113541114421341
710140446063332
oct1351166521175
9316153452627
10100023313021
1139468609565
1217475731851
1395805b2b28
144bac1ac989
1529062e22d1
hex1749daa27d

100023313021 has 2 divisors, whose sum is σ = 100023313022. Its totient is φ = 100023313020.

The previous prime is 100023313003. The next prime is 100023313051. The reversal of 100023313021 is 120313320001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93231904921 + 6791408100 = 305339^2 + 82410^2 .

It is a cyclic number.

It is not a de Polignac number, because 100023313021 - 221 = 100021215869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100023312986 and 100023313004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100023313051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011656510 + 50011656511.

It is an arithmetic number, because the mean of its divisors is an integer number (50011656511).

Almost surely, 2100023313021 is an apocalyptic number.

It is an amenable number.

100023313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100023313021 is an equidigital number, since it uses as much as digits as its factorization.

100023313021 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 100023313021 its reverse (120313320001), we get a palindrome (220336633022).

The spelling of 100023313021 in words is "one hundred billion, twenty-three million, three hundred thirteen thousand, twenty-one".