Search a number
-
+
10123222133 = 1912277493
BaseRepresentation
bin10010110110110010…
…00001110001110101
3222010111121222010002
421123121001301311
5131213021102013
64352303441045
7505601653103
oct113331016165
928114558102
1010123222133
114325327692
121b662b6185
13c543a1b8b
146c067ac73
153e3aed358
hex25b641c75

10123222133 has 6 divisors (see below), whose sum is σ = 10176537462. Its totient is φ = 10070184680.

The previous prime is 10123222127. The next prime is 10123222177. The reversal of 10123222133 is 33122232101.

10123222133 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., 7619020369 + 2504201764 = 87287^2 + 50042^2 .

It is not a de Polignac number, because 10123222133 - 26 = 10123222069 is a prime.

It is a super-2 number, since 2×101232221332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123228133) 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 5 ways as a sum of consecutive naturals, for example, 102266 + ... + 175227.

It is an arithmetic number, because the mean of its divisors is an integer number (1696089577).

Almost surely, 210123222133 is an apocalyptic number.

It is an amenable number.

10123222133 is a deficient number, since it is larger than the sum of its proper divisors (53315329).

10123222133 is an frugal number, since it uses more digits than its factorization.

10123222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277875 (or 277684 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10123222133 its reverse (33122232101), we get a palindrome (43245454234).

The spelling of 10123222133 in words is "ten billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 191 36481 277493 53001163 10123222133