Search a number
-
+
222112220011101 = 327377313718115261
BaseRepresentation
bin110010100000001010000111…
…111110010101101001011101
31002010102201110111200122021200
4302200022013332111221131
5213103041311310323401
62104220540100550113
764533035604240510
oct6240120776255135
91063381414618250
10222112220011101
11648542998194a2
1220ab2a050b2339
1396c21282209c4
143cbc4086c0d77
151aa29add6b686
hexca0287f95a5d

222112220011101 has 192 divisors, whose sum is σ = 384801520237056. Its totient is φ = 120820526899200.

The previous prime is 222112220011079. The next prime is 222112220011147. The reversal of 222112220011101 is 101110022211222.

222112220011101 is a `hidden beast` number, since 222 + 112 + 220 + 0 + 1 + 110 + 1 = 666.

222112220011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222112220011101 - 26 = 222112220011037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112220011181) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42218628811 + ... + 42218634071.

It is an arithmetic number, because the mean of its divisors is an integer number (2004174584568).

Almost surely, 2222112220011101 is an apocalyptic number.

222112220011101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222112220011101 is a deficient number, since it is larger than the sum of its proper divisors (162689300225955).

222112220011101 is a wasteful number, since it uses less digits than its factorization.

222112220011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332 (or 7329 counting only the distinct ones).

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

Adding to 222112220011101 its reverse (101110022211222), we get a palindrome (323222242222323).

The spelling of 222112220011101 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, eleven thousand, one hundred one".