Search a number
-
+
10021022123 = 71929289591
BaseRepresentation
bin10010101010100110…
…01010100110101011
3221212101022200001112
421111103022212223
5131010340201443
64334213140535
7503221165640
oct112523124653
927771280045
1010021022123
114282673272
121b3802a74b
13c3916abb8
146b0c75dc7
153d9b61b18
hex2554ca9ab

10021022123 has 24 divisors (see below), whose sum is σ = 12485541120. Its totient is φ = 7856684640.

The previous prime is 10021022071. The next prime is 10021022129. The reversal of 10021022123 is 32122012001.

It is a happy number.

10021022123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021022123 - 212 = 10021018027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021022098 and 10021022107.

It is not an unprimeable number, because it can be changed into a prime (10021022129) 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 in 23 ways as a sum of consecutive naturals, for example, 67058 + ... + 156648.

It is an arithmetic number, because the mean of its divisors is an integer number (520230880).

Almost surely, 210021022123 is an apocalyptic number.

10021022123 is a deficient number, since it is larger than the sum of its proper divisors (2464518997).

10021022123 is an equidigital number, since it uses as much as digits as its factorization.

10021022123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89675 (or 89646 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10021022123 its reverse (32122012001), we get a palindrome (42143034124).

The spelling of 10021022123 in words is "ten billion, twenty-one million, twenty-two thousand, one hundred twenty-three".

Divisors: 1 7 19 29 133 203 551 841 3857 5887 15979 89591 111853 627137 1702229 2598139 11915603 18186973 49364641 75346031 345552487 527422217 1431574589 10021022123