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112002201022221 = 321732533012213
BaseRepresentation
bin11001011101110110001011…
…011001111110111100001101
3112200120022020222000010221200
4121131312023121332330031
5104140021001430202341
61034113033440220113
732406614644432206
oct3135661331767415
9480508228003850
10112002201022221
1132761959649604
121068a93a60a639
134a659ba834533
141d92d14c565ad
15ce367aa5edb6
hex65dd8b67ef0d

112002201022221 has 24 divisors (see below), whose sum is σ = 171890208842040. Its totient is φ = 70275890809728.

The previous prime is 112002201022219. The next prime is 112002201022333. The reversal of 112002201022221 is 122220102200211.

It is a happy number.

112002201022221 is a `hidden beast` number, since 1 + 1 + 200 + 220 + 1 + 0 + 22 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30287290485321 + 81714910536900 = 5503389^2 + 9039630^2 .

It is not a de Polignac number, because 112002201022221 - 21 = 112002201022219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112002201022194 and 112002201022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002201022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1266461890 + ... + 1266550323.

It is an arithmetic number, because the mean of its divisors is an integer number (7162092035085).

Almost surely, 2112002201022221 is an apocalyptic number.

It is an amenable number.

112002201022221 is a deficient number, since it is larger than the sum of its proper divisors (59888007819819).

112002201022221 is an equidigital number, since it uses as much as digits as its factorization.

112002201022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533012270 (or 2533012233 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112002201022221 its reverse (122220102200211), we get a palindrome (234222303222432).

The spelling of 112002201022221 in words is "one hundred twelve trillion, two billion, two hundred one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 4913 14739 44217 2533012213 7599036639 22797109917 43061207621 129183622863 387550868589 732040529557 2196121588671 6588364766013 12444689002469 37334067007407 112002201022221