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112111202002221 = 33211151391299887
BaseRepresentation
bin11001011111011011101100…
…010111101110010100101101
3112200221201121102120122112000
4121133123230113232110231
5104143312220203032341
61034235101501402513
732420524045453002
oct3137335427562455
9480851542518460
10112111202002221
11327a4103885154
12106a7a9a869439
134a7306c078336
141d982d54a58a9
15ce640a0bb8b6
hex65f6ec5ee52d

112111202002221 has 32 divisors (see below), whose sum is σ = 166888980633600. Its totient is φ = 74381608733040.

The previous prime is 112111202002183. The next prime is 112111202002223. The reversal of 112111202002221 is 122200202111211.

112111202002221 is a `hidden beast` number, since 1 + 121 + 1 + 120 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 112111202002221 - 211 = 112111202000173 is a prime.

It is a super-2 number, since 2×1121112020022212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112111202002194 and 112111202002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111202002223) 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 31 ways as a sum of consecutive naturals, for example, 85596940 + ... + 86896826.

It is an arithmetic number, because the mean of its divisors is an integer number (5215280644800).

Almost surely, 2112111202002221 is an apocalyptic number.

It is an amenable number.

112111202002221 is a deficient number, since it is larger than the sum of its proper divisors (54777778631379).

112111202002221 is a wasteful number, since it uses less digits than its factorization.

112111202002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315246 (or 1315240 counting only the distinct ones).

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

Adding to 112111202002221 its reverse (122200202111211), we get a palindrome (234311404113432).

The spelling of 112111202002221 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred two million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 27 211 633 1899 5697 15139 45417 136251 408753 1299887 3194329 3899661 9582987 11698983 28748961 35096949 86246883 274276157 822828471 2468485413 7405456239 19678989293 59036967879 177110903637 531332710911 4152266740823 12456800222469 37370400667407 112111202002221