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221112011001222 = 233111385926859257
BaseRepresentation
bin110010010001100110100110…
…110111110000110110000110
31001222220002202012222102011000
4302101212212313300312012
5212440144344304014342
62102133242222354130
764400546521030305
oct6221464667606606
91058802665872130
10221112011001222
11644a9093917370
1220970ba512b946
13964ba08864ba3
143c85c425cc43c
151a8696e0bb44c
hexc919a6df0d86

221112011001222 has 64 divisors (see below), whose sum is σ = 536067814867200. Its totient is φ = 66998802536640.

The previous prime is 221112011001221. The next prime is 221112011001227. The reversal of 221112011001222 is 222100110211122.

221112011001222 is a `hidden beast` number, since 2 + 211 + 120 + 110 + 0 + 1 + 222 = 666.

221112011001222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221112011001195 and 221112011001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112011001221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5197383 + ... + 21661874.

It is an arithmetic number, because the mean of its divisors is an integer number (8376059607300).

Almost surely, 2221112011001222 is an apocalyptic number.

221112011001222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221112011001222 is an abundant number, since it is smaller than the sum of its proper divisors (314955803865978).

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

221112011001222 is a wasteful number, since it uses less digits than its factorization.

221112011001222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26873138 (or 26873132 counting only the distinct ones).

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

Adding to 221112011001222 its reverse (222100110211122), we get a palindrome (443212121212344).

The spelling of 221112011001222 in words is "two hundred twenty-one trillion, one hundred twelve billion, eleven million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 13859 27718 41577 83154 124731 152449 249462 304898 374193 457347 748386 914694 1372041 2744082 4116123 8232246 26859257 53718514 80577771 161155542 241733313 295451827 483466626 590903654 725199939 886355481 1450399878 1772710962 2659066443 5318132886 7977199329 15954398658 372242442763 744484885526 1116727328289 2233454656578 3350181984867 4094666870393 6700363969734 8189333740786 10050545954601 12284000611179 20101091909202 24568001222358 36852001833537 73704003667074 110556005500611 221112011001222