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212211112122 = 23211789506229
BaseRepresentation
bin1100010110100011000…
…1001001100010111010
3202021202100122110020100
43011220301021202322
511434102021041442
6241253300340230
721221534455662
oct3055061114272
9667670573210
10212211112122
1181aa87054a9
12351650a4676
131701c12bac9
14a3b1b751a2
1557c04e684c
hex3168c498ba

212211112122 has 12 divisors (see below), whose sum is σ = 459790742970. Its totient is φ = 70737037368.

The previous prime is 212211112079. The next prime is 212211112129. The reversal of 212211112122 is 221211112212.

It can be written as a sum of positive squares in only one way, i.e., 116253039681 + 95958072441 = 340959^2 + 309771^2 .

It is a super-2 number, since 2×2122111121222 (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), and also a Moran number because the ratio is a prime number: 11789506229 = 212211112122 / (2 + 1 + 2 + 2 + 1 + 1 + 1 + 1 + 2 + 1 + 2 + 2).

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 = 212211112095 and 212211112104.

It is not an unprimeable number, because it can be changed into a prime (212211112129) 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, 5894753097 + ... + 5894753132.

Almost surely, 2212211112122 is an apocalyptic number.

212211112122 is an abundant number, since it is smaller than the sum of its proper divisors (247579630848).

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

212211112122 is a wasteful number, since it uses less digits than its factorization.

212211112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789506237 (or 11789506234 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 212211112122 its reverse (221211112212), we get a palindrome (433422224334).

The spelling of 212211112122 in words is "two hundred twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11789506229 23579012458 35368518687 70737037374 106105556061 212211112122