Search a number
-
+
10021343121 = 322574332617
BaseRepresentation
bin10010101010101000…
…11000111110010001
3221212101220222101100
421111110120332101
5131010430434441
64334224055013
7503224003536
oct112524307621
927771828340
1010021343121
114282872459
121b38164469
13c3925103a
146b0d1ad8d
153d9bc6cb6
hex255518f91

10021343121 has 12 divisors (see below), whose sum is σ = 14531600772. Its totient is φ = 6654898176.

The previous prime is 10021343117. The next prime is 10021343159. The reversal of 10021343121 is 12134312001.

10021343121 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 431 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6835982400 + 3185360721 = 82680^2 + 56439^2 .

It is not a de Polignac number, because 10021343121 - 22 = 10021343117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021343094 and 10021343103.

It is not an unprimeable number, because it can be changed into a prime (10021343021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2163996 + ... + 2168621.

It is an arithmetic number, because the mean of its divisors is an integer number (1210966731).

Almost surely, 210021343121 is an apocalyptic number.

It is an amenable number.

10021343121 is a deficient number, since it is larger than the sum of its proper divisors (4510257651).

10021343121 is a wasteful number, since it uses less digits than its factorization.

10021343121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332880 (or 4332877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10021343121 its reverse (12134312001), we get a palindrome (22155655122).

The spelling of 10021343121 in words is "ten billion, twenty-one million, three hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 257 771 2313 4332617 12997851 38993553 1113482569 3340447707 10021343121