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211311122 = 2111719131227
BaseRepresentation
bin11001001100001…
…01101000010010
3112201121201100212
430212011220102
5413043423442
632545044122
75144054261
oct1446055022
9481551325
10211311122
11a93091a0
125a926642
1334a17889
14200c85d8
1513840a82
hexc985a12

211311122 has 64 divisors (see below), whose sum is σ = 390044160. Its totient is φ = 84614400.

The previous prime is 211311119. The next prime is 211311151. The reversal of 211311122 is 221113112.

It is a junction number, because it is equal to n+sod(n) for n = 211311097 and 211311106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930773 + ... + 930999.

It is an arithmetic number, because the mean of its divisors is an integer number (6094440).

Almost surely, 2211311122 is an apocalyptic number.

211311122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211311122 is a deficient number, since it is larger than the sum of its proper divisors (178733038).

211311122 is a wasteful number, since it uses less digits than its factorization.

211311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

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

The square root of 211311122 is about 14536.5443623992. The cubic root of 211311122 is about 595.6266467144.

Adding to 211311122 its reverse (221113112), we get a palindrome (432424234).

The spelling of 211311122 in words is "two hundred eleven million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 17 19 22 34 38 131 187 209 227 262 323 374 418 454 646 1441 2227 2489 2497 2882 3553 3859 4313 4454 4978 4994 7106 7718 8626 24497 27379 29737 42313 42449 47443 48994 54758 59474 73321 84626 84898 94886 146642 327107 465443 505529 565003 654214 806531 930886 1011058 1130006 1613062 5560819 6215033 9605051 11121638 12430066 19210102 105655561 211311122