Search a number
-
+
112122001120221 = 3223353467811693
BaseRepresentation
bin11001011111100101110000…
…000011000101101111011101
3112200222202111001000200110100
4121133211300003011233131
5104144001324241321341
61034244045232131313
732421355465446021
oct3137456003055735
9480882431020410
10112122001120221
11327a8745688364
12106a9bb3396b39
134a740a049a0a1
141d98a3b804381
15ce683d1ca3b6
hex65f9700c5bdd

112122001120221 has 12 divisors (see below), whose sum is σ = 162649083173148. Its totient is φ = 74427193875264.

The previous prime is 112122001120187. The next prime is 112122001120223. The reversal of 112122001120221 is 122021100221211.

112122001120221 is a `hidden beast` number, since 1 + 1 + 212 + 200 + 11 + 20 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79724719476900 + 32397281643321 = 8928870^2 + 5691861^2 .

It is not a de Polignac number, because 112122001120221 - 217 = 112122000989149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112122001120194 and 112122001120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122001120223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26733903750 + ... + 26733907943.

It is an arithmetic number, because the mean of its divisors is an integer number (13554090264429).

Almost surely, 2112122001120221 is an apocalyptic number.

It is an amenable number.

112122001120221 is a deficient number, since it is larger than the sum of its proper divisors (50527082052927).

112122001120221 is a wasteful number, since it uses less digits than its factorization.

112122001120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53467811932 (or 53467811929 counting only the distinct ones).

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

Adding to 112122001120221 its reverse (122021100221211), we get a palindrome (234143101341432).

The spelling of 112122001120221 in words is "one hundred twelve trillion, one hundred twenty-two billion, one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 233 699 2097 53467811693 160403435079 481210305237 12458000124469 37374000373407 112122001120221