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112140211221 = 32177310199409
BaseRepresentation
bin110100001110000010…
…0111101010000010101
3101201110020120222020100
41220130010331100111
53314130343224341
6123303321524313
711046640032213
oct1503404752025
9351406528210
10112140211221
1143616253515
1219897643699
13a761a2678c
1455db539cb3
152db4e543b6
hex1a1c13d415

112140211221 has 48 divisors (see below), whose sum is σ = 175581123120. Its totient is φ = 68710809600.

The previous prime is 112140211219. The next prime is 112140211243. The reversal of 112140211221 is 122112041211.

112140211221 is a `hidden beast` number, since 11 + 21 + 402 + 11 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31103202321 + 81037008900 = 176361^2 + 284670^2 .

It is not a de Polignac number, because 112140211221 - 21 = 112140211219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112140211194 and 112140211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112140211291) 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, 1078365 + ... + 1177773.

It is an arithmetic number, because the mean of its divisors is an integer number (3657940065).

Almost surely, 2112140211221 is an apocalyptic number.

It is an amenable number.

112140211221 is a deficient number, since it is larger than the sum of its proper divisors (63440911899).

112140211221 is a wasteful number, since it uses less digits than its factorization.

112140211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99606 (or 99603 counting only the distinct ones).

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

Adding to 112140211221 its reverse (122112041211), we get a palindrome (234252252432).

The spelling of 112140211221 in words is "one hundred twelve billion, one hundred forty million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 73 101 153 219 303 657 909 1241 1717 3723 5151 7373 11169 15453 22119 66357 99409 125341 298227 376023 894681 1128069 1689953 5069859 7256857 10040309 15209577 21770571 30120927 65311713 90362781 123366569 170685253 370099707 512055759 732942557 1110299121 1536167277 2198827671 6596483013 12460023469 37380070407 112140211221