Search a number
-
+
10023312029 is a prime number
BaseRepresentation
bin10010101010110111…
…11001101010011101
3221212112122000012212
421111123321222131
5131011431441104
64334334210205
7503246514023
oct112533715235
927775560185
1010023312029
114283997755
121b38953965
13c39790283
146b12b0713
153d9e6536e
hex2556f9a9d

10023312029 has 2 divisors, whose sum is σ = 10023312030. Its totient is φ = 10023312028.

The previous prime is 10023312017. The next prime is 10023312031. The reversal of 10023312029 is 92021332001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7832604004 + 2190708025 = 88502^2 + 46805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023312029 - 232 = 5728344733 is a prime.

Together with 10023312031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10023311995 and 10023312013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10023312049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011656014 + 5011656015.

It is an arithmetic number, because the mean of its divisors is an integer number (5011656015).

Almost surely, 210023312029 is an apocalyptic number.

It is an amenable number.

10023312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023312029 is an equidigital number, since it uses as much as digits as its factorization.

10023312029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10023312029 in words is "ten billion, twenty-three million, three hundred twelve thousand, twenty-nine".