Search a number
-
+
10223411929 is a prime number
BaseRepresentation
bin10011000010101110…
…01110001011011001
3222101111011010200021
421201113032023121
5131414143140204
64410243110441
7511226365453
oct114127161331
928344133607
1010223411929
114376938775
121b93972421
13c6c080b93
146cdabb2d3
153ec7de154
hex2615ce2d9

10223411929 has 2 divisors, whose sum is σ = 10223411930. Its totient is φ = 10223411928.

The previous prime is 10223411927. The next prime is 10223411953. The reversal of 10223411929 is 92911432201.

10223411929 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., 5539378329 + 4684033600 = 74427^2 + 68440^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223411929 - 21 = 10223411927 is a prime.

Together with 10223411927, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10223411894 and 10223411903.

It is not a weakly prime, because it can be changed into another prime (10223411921) 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, 5111705964 + 5111705965.

It is an arithmetic number, because the mean of its divisors is an integer number (5111705965).

Almost surely, 210223411929 is an apocalyptic number.

It is an amenable number.

10223411929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223411929 is an equidigital number, since it uses as much as digits as its factorization.

10223411929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10223411929 in words is "ten billion, two hundred twenty-three million, four hundred eleven thousand, nine hundred twenty-nine".