Search a number
-
+
10023461021 = 72610133529
BaseRepresentation
bin10010101010111000…
…11110000010011101
3221212112220120121002
421111130132002131
5131012001223041
64334341320045
7503251004300
oct112534360235
927775816532
1010023461021
114283a89692
121b38a06025
13c39813032
146b130cb37
153d9e9459b
hex25571e09d

10023461021 has 12 divisors (see below), whose sum is σ = 11662203420. Its totient is φ = 8589873600.

The previous prime is 10023461003. The next prime is 10023461029. The reversal of 10023461021 is 12016432001.

10023461021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6259024996 + 3764436025 = 79114^2 + 61355^2 .

It is not a de Polignac number, because 10023461021 - 230 = 8949719197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10023460984 and 10023461002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023461029) 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 11 ways as a sum of consecutive naturals, for example, 282185 + ... + 315713.

It is an arithmetic number, because the mean of its divisors is an integer number (971850285).

Almost surely, 210023461021 is an apocalyptic number.

It is an amenable number.

10023461021 is a deficient number, since it is larger than the sum of its proper divisors (1638742399).

10023461021 is an equidigital number, since it uses as much as digits as its factorization.

10023461021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39644 (or 39637 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10023461021 its reverse (12016432001), we get a palindrome (22039893022).

The spelling of 10023461021 in words is "ten billion, twenty-three million, four hundred sixty-one thousand, twenty-one".

Divisors: 1 7 49 6101 33529 42707 234703 298949 1642921 204560429 1431923003 10023461021