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213111112122 = 23284137140717
BaseRepresentation
bin1100011001111001101…
…0011000000110111010
3202101002002011012010200
43012132122120012322
511442422421041442
6241522450423030
721253043364456
oct3063632300672
9671062135120
10213111112122
118241a737857
1235376591a76
131713372549c
14a4594d1666
15582452334c
hex319e6981ba

213111112122 has 24 divisors (see below), whose sum is σ = 461749512276. Its totient is φ = 71035688256.

The previous prime is 213111112103. The next prime is 213111112127. The reversal of 213111112122 is 221211111312.

It is a happy number.

213111112122 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 2 ways, for example, as 163556345241 + 49554766881 = 404421^2 + 222609^2 .

It is a super-2 number, since 2×2131111121222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213111112095 and 213111112104.

It is not an unprimeable number, because it can be changed into a prime (213111112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1444108 + ... + 1584824.

Almost surely, 2213111112122 is an apocalyptic number.

213111112122 is an abundant number, since it is smaller than the sum of its proper divisors (248638400154).

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

213111112122 is a wasteful number, since it uses less digits than its factorization.

213111112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224862 (or 224859 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 213111112122 its reverse (221211111312), we get a palindrome (434322223434).

The spelling of 213111112122 in words is "two hundred thirteen billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 84137 140717 168274 252411 281434 422151 504822 757233 844302 1266453 1514466 2532906 11839506229 23679012458 35518518687 71037037374 106555556061 213111112122