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112002120000221 = 111717910151329627
BaseRepresentation
bin11001011101110110000110…
…100100111010001011011101
3112200120022001022112210122212
4121131312012210322023131
5104140020320210001341
61034113021423450205
732406612641651363
oct3135660644721335
9480508038483585
10112002120000221
113276191793a580
121068a917456965
134a659a6b06c19
141d92d081a5633
15ce36738a85eb
hex65dd8693a2dd

112002120000221 has 32 divisors (see below), whose sum is σ = 130107388769280. Its totient is φ = 95285647072000.

The previous prime is 112002120000163. The next prime is 112002120000233. The reversal of 112002120000221 is 122000021200211.

It is not a de Polignac number, because 112002120000221 - 242 = 107604073489117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112002120000196 and 112002120000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002120002221) 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, 339619610 + ... + 339949236.

It is an arithmetic number, because the mean of its divisors is an integer number (4065855899040).

Almost surely, 2112002120000221 is an apocalyptic number.

112002120000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112002120000221 is a deficient number, since it is larger than the sum of its proper divisors (18105268769059).

112002120000221 is a wasteful number, since it uses less digits than its factorization.

112002120000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339985.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112002120000221 its reverse (122000021200211), we get a palindrome (234002141200432).

The spelling of 112002120000221 in words is "one hundred twelve trillion, two billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 17 179 187 1969 3043 10151 33473 111661 172567 329627 1817029 1898237 3625897 5603659 19987319 30889493 59003233 61640249 339784423 649035563 1003054961 3346043677 11033604571 36806480447 56882742509 598941818183 625710167599 6588360000013 10182010909111 112002120000221