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212113122 = 231314918251
BaseRepresentation
bin11001010010010…
…01011011100010
3112210010110111120
430221021123202
5413300104442
633014153110
75153634414
oct1451113342
9483113446
10212113122
11a9806801
125b052796
1334c38930
14202569b4
151394d4ec
hexca496e2

212113122 has 32 divisors (see below), whose sum is σ = 459950400. Its totient is φ = 64824000.

The previous prime is 212113117. The next prime is 212113141. The reversal of 212113122 is 221311212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497 + ... + 20747.

It is an arithmetic number, because the mean of its divisors is an integer number (14373450).

Almost surely, 2212113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

212113122 is an abundant number, since it is smaller than the sum of its proper divisors (247837278).

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

212113122 is a wasteful number, since it uses less digits than its factorization.

212113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18418.

The product of its digits is 48, while the sum is 15.

The square root of 212113122 is about 14564.1038859245. The cubic root of 212113122 is about 596.3792329170.

Adding to 212113122 its reverse (221311212), we get a palindrome (433424334).

The spelling of 212113122 in words is "two hundred twelve million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 149 298 447 894 1937 3874 5811 11622 18251 36502 54753 109506 237263 474526 711789 1423578 2719399 5438798 8158197 16316394 35352187 70704374 106056561 212113122