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10120333122 = 232562240729
BaseRepresentation
bin10010110110011100…
…00000011101000010
3222010022012012010200
421123032000131002
5131211301124442
64352121510030
7505535261244
oct113316003502
928108165120
1010120333122
114323734079
121b65342316
13c538ccbc3
146c0128094
153e372c34c
hex25b380742

10120333122 has 12 divisors (see below), whose sum is σ = 21927388470. Its totient is φ = 3373444368.

The previous prime is 10120333117. The next prime is 10120333123. The reversal of 10120333122 is 22133302101.

It can be written as a sum of positive squares in only one way, i.e., 9478774881 + 641558241 = 97359^2 + 25329^2 .

It is a super-2 number, since 2×101203331222 (a number of 21 digits) contains 22 as substring.

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: 562240729 = 10120333122 / (1 + 0 + 1 + 2 + 0 + 3 + 3 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10120333095 and 10120333104.

It is not an unprimeable number, because it can be changed into a prime (10120333123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281120347 + ... + 281120382.

Almost surely, 210120333122 is an apocalyptic number.

10120333122 is an abundant number, since it is smaller than the sum of its proper divisors (11807055348).

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

10120333122 is a wasteful number, since it uses less digits than its factorization.

10120333122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562240737 (or 562240734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10120333122 its reverse (22133302101), we get a palindrome (32253635223).

The spelling of 10120333122 in words is "ten billion, one hundred twenty million, three hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 562240729 1124481458 1686722187 3373444374 5060166561 10120333122