Search a number
-
+
10121123322 = 232562284629
BaseRepresentation
bin10010110110100010…
…00001010111111010
3222010100200100002100
421123101001113322
5131212001421242
64352150444230
7505545062112
oct113321012772
928110610070
1010121123322
114324123832
121b65663676
13c53b1878b
146c0292042
153e383654c
hex25b4415fa

10121123322 has 12 divisors (see below), whose sum is σ = 21929100570. Its totient is φ = 3373707768.

The previous prime is 10121123321. The next prime is 10121123339. The reversal of 10121123322 is 22332112101.

10121123322 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., 5315722281 + 4805401041 = 72909^2 + 69321^2 .

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: 562284629 = 10121123322 / (1 + 0 + 1 + 2 + 1 + 1 + 2 + 3 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10121123295 and 10121123304.

It is not an unprimeable number, because it can be changed into a prime (10121123321) 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, 281142297 + ... + 281142332.

Almost surely, 210121123322 is an apocalyptic number.

10121123322 is an abundant number, since it is smaller than the sum of its proper divisors (11807977248).

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

10121123322 is a wasteful number, since it uses less digits than its factorization.

10121123322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562284637 (or 562284634 counting only the distinct ones).

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

Adding to 10121123322 its reverse (22332112101), we get a palindrome (32453235423).

The spelling of 10121123322 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 562284629 1124569258 1686853887 3373707774 5060561661 10121123322