Search a number
-
+
10123242029 is a prime number
BaseRepresentation
bin10010110110110010…
…00110101000101101
3222010111122222101222
421123121012220231
5131213022221104
64352304113125
7505602065105
oct113331065055
928114588358
1010123242029
11432534062a
121b663057a5
13c543aac54
146c0684205
153e3b041be
hex25b646a2d

10123242029 has 2 divisors, whose sum is σ = 10123242030. Its totient is φ = 10123242028.

The previous prime is 10123242023. The next prime is 10123242053. The reversal of 10123242029 is 92024232101.

10123242029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9754525225 + 368716804 = 98765^2 + 19202^2 .

It is an emirp because it is prime and its reverse (92024232101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123242029 - 224 = 10106464813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123241989 and 10123242007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123242023) 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, 5061621014 + 5061621015.

It is an arithmetic number, because the mean of its divisors is an integer number (5061621015).

Almost surely, 210123242029 is an apocalyptic number.

It is an amenable number.

10123242029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123242029 is an equidigital number, since it uses as much as digits as its factorization.

10123242029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10123242029 in words is "ten billion, one hundred twenty-three million, two hundred forty-two thousand, twenty-nine".