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112102110220221 = 321113171389121081
BaseRepresentation
bin11001011111010011001110…
…011101010100111110111101
3112200220212010210210021021100
4121133103032131110332331
5104143140110204021341
61034230555401123313
732420052536544642
oct3137231635247675
9480825123707240
10112102110220221
11327a02687a5830
12106a6181a89539
134a722505a0c84
141d97ab1bdbdc9
15ce6076d103b6
hex65f4ce754fbd

112102110220221 has 48 divisors (see below), whose sum is σ = 177998153636160. Its totient is φ = 67420540512000.

The previous prime is 112102110220181. The next prime is 112102110220253. The reversal of 112102110220221 is 122022011201211.

112102110220221 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 211 + 0 + 220 + 221 = 666.

It is not a de Polignac number, because 112102110220221 - 211 = 112102110218173 is a prime.

It is a super-2 number, since 2×1121021102202212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112102110220194 and 112102110220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102110220021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925783401 + ... + 925904481.

It is an arithmetic number, because the mean of its divisors is an integer number (3708294867420).

Almost surely, 2112102110220221 is an apocalyptic number.

112102110220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112102110220221 is a deficient number, since it is larger than the sum of its proper divisors (65896043415939).

112102110220221 is a wasteful number, since it uses less digits than its factorization.

112102110220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192618 (or 192615 counting only the distinct ones).

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

Adding to 112102110220221 its reverse (122022011201211), we get a palindrome (234124121421432).

The spelling of 112102110220221 in words is "one hundred twelve trillion, one hundred two billion, one hundred ten million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969 71389 121081 214167 363243 642501 785279 1089729 1331891 2355837 3995673 7067511 9351959 11987019 15861611 28055877 47584833 84167631 102871549 142754499 174477721 308614647 523433163 925843941 1570299489 8643851509 25931554527 77794663581 95082366599 285247099797 855741299391 1132344547679 3397033643037 10191100929111 12455790024469 37367370073407 112102110220221