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10223032122 = 232567946229
BaseRepresentation
bin10011000010101011…
…10001011100111010
3222101110102211200100
421201111301130322
5131414044011442
64410231020230
7511223224242
oct114125613472
928343384610
1010223032122
1143766a9386
121b9380a676
13c6bc7a044
146cda1cb22
153ec76684c
hex26157173a

10223032122 has 12 divisors (see below), whose sum is σ = 22149902970. Its totient is φ = 3407677368.

The previous prime is 10223032109. The next prime is 10223032187. The reversal of 10223032122 is 22123032201.

10223032122 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 only one way, i.e., 8517259521 + 1705772601 = 92289^2 + 41301^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 567946229 = 10223032122 / (1 + 0 + 2 + 2 + 3 + 0 + 3 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10223032095 and 10223032104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 283973097 + ... + 283973132.

Almost surely, 210223032122 is an apocalyptic number.

10223032122 is an abundant number, since it is smaller than the sum of its proper divisors (11926870848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10223032122 is a wasteful number, since it uses less digits than its factorization.

10223032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567946237 (or 567946234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10223032122 its reverse (22123032201), we get a palindrome (32346064323).

The spelling of 10223032122 in words is "ten billion, two hundred twenty-three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 567946229 1135892458 1703838687 3407677374 5111516061 10223032122