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111212122221 = 32378310139839
BaseRepresentation
bin110011110010011000…
…0100101000001101101
3101122001120020011110200
41213210300211001231
53310230300402341
6123031245424113
711014640304324
oct1474460450155
9348046204420
10111212122221
114318a386512
121967886b039
13a644676ba5
14555018b0bb
152d5d729db6
hex19e4c2506d

111212122221 has 48 divisors (see below), whose sum is σ = 168626465280. Its totient is φ = 70561065600.

The previous prime is 111212122199. The next prime is 111212122247. The reversal of 111212122221 is 122221212111.

111212122221 is a `hidden beast` number, since 111 + 212 + 122 + 221 = 666.

It is not a de Polignac number, because 111212122221 - 213 = 111212114029 is a prime.

It is a super-2 number, since 2×1112121222212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111212122194 and 111212122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212122321) 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 47 ways as a sum of consecutive naturals, for example, 2771620 + ... + 2811458.

It is an arithmetic number, because the mean of its divisors is an integer number (3513051360).

Almost surely, 2111212122221 is an apocalyptic number.

It is an amenable number.

111212122221 is a deficient number, since it is larger than the sum of its proper divisors (57414343059).

111212122221 is a wasteful number, since it uses less digits than its factorization.

111212122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40066 (or 40063 counting only the distinct ones).

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

Adding to 111212122221 its reverse (122221212111), we get a palindrome (233433334332).

The spelling of 111212122221 in words is "one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 83 101 111 249 303 333 747 909 3071 3737 8383 9213 11211 25149 27639 33633 39839 75447 119517 310171 358551 930513 1474043 2791539 3306637 4023739 4422129 9919911 12071217 13266387 29759733 36213651 122345569 148878343 333970337 367036707 446635029 1001911011 1101110121 1339905087 3005733033 12356902469 37070707407 111212122221