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212113121 = 11210331697
BaseRepresentation
bin11001010010010…
…01011011100001
3112210010110111112
430221021123201
5413300104441
633014153105
75153634413
oct1451113341
9483113445
10212113121
11a9806800
125b052795
1334c3892c
14202569b3
151394d4eb
hexca496e1

212113121 has 12 divisors (see below), whose sum is σ = 233512356. Its totient is φ = 192529920.

The previous prime is 212113117. The next prime is 212113141. The reversal of 212113121 is 121311212.

It can be written as a sum of positive squares in 2 ways, for example, as 204490000 + 7623121 = 14300^2 + 2761^2 .

It is not a de Polignac number, because 212113121 - 22 = 212113117 is a prime.

It is a super-2 number, since 2×2121131212 = 89983952200721282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212113096 and 212113105.

It is not an unprimeable number, because it can be changed into a prime (212113141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 124145 + ... + 125841.

It is an arithmetic number, because the mean of its divisors is an integer number (19459363).

Almost surely, 2212113121 is an apocalyptic number.

It is an amenable number.

212113121 is a deficient number, since it is larger than the sum of its proper divisors (21399235).

212113121 is a wasteful number, since it uses less digits than its factorization.

212113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2741 counting only the distinct ones).

The product of its digits is 24, while the sum is 14.

The square root of 212113121 is about 14564.1038515935. The cubic root of 212113121 is about 596.3792319798.

Adding to 212113121 its reverse (121311212), we get a palindrome (333424333).

The spelling of 212113121 in words is "two hundred twelve million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 11 121 1033 1697 11363 18667 124993 205337 1753001 19283011 212113121