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11212312122 = 2321162299091
BaseRepresentation
bin10100111000100111…
…00100111000111010
31001221101221110201100
422130103210320322
5140430322441442
65052330432230
7544565036424
oct123423447072
931841843640
1011212312122
114834070060
12220ab92676
131098c02a1b
14785179814
1545952b84c
hex29c4e4e3a

11212312122 has 48 divisors (see below), whose sum is σ = 26508998880. Its totient is φ = 3396751200.

The previous prime is 11212312121. The next prime is 11212312147. The reversal of 11212312122 is 22121321211.

11212312122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112123121222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 11212312095 and 11212312104.

It is not an unprimeable number, because it can be changed into a prime (11212312121) 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 23 ways as a sum of consecutive naturals, for example, 1228797 + ... + 1237887.

It is an arithmetic number, because the mean of its divisors is an integer number (552270810).

Almost surely, 211212312122 is an apocalyptic number.

11212312122 is an abundant number, since it is smaller than the sum of its proper divisors (15296686758).

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

11212312122 is a wasteful number, since it uses less digits than its factorization.

11212312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15339 (or 15336 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11212312122 its reverse (22121321211), we get a palindrome (33333633333).

The spelling of 11212312122 in words is "eleven billion, two hundred twelve million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 6229 9091 12458 18182 18687 27273 37374 54546 56061 68519 81819 100001 112122 137038 163638 200002 205557 300003 411114 600006 616671 900009 1233342 1800018 56627839 113255678 169883517 339767034 509650551 622906229 1019301102 1245812458 1868718687 3737437374 5606156061 11212312122