Search a number
-
+
121101122120202 = 23273725976216671
BaseRepresentation
bin11011100010010000001101…
…010111011010101000001010
3120212210011011102022102012200
4123202100031113122220022
5111333110044230321302
61105321030521221030
734336160461604160
oct3342201527325012
9525704142272180
10121101122120202
113564a774378774
12116ba260931776
135275a2c82c0a3
1421c947b593230
15e001b88ab81c
hex6e240d5daa0a

121101122120202 has 48 divisors (see below), whose sum is σ = 307974024863232. Its totient is φ = 33665176804320.

The previous prime is 121101122120171. The next prime is 121101122120207. The reversal of 121101122120202 is 202021221101121.

121101122120202 is a `hidden beast` number, since 1 + 211 + 0 + 11 + 221 + 20 + 202 = 666.

121101122120202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121101122120207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12988103674 + ... + 12988112997.

It is an arithmetic number, because the mean of its divisors is an integer number (6416125517984).

Almost surely, 2121101122120202 is an apocalyptic number.

121101122120202 is an abundant number, since it is smaller than the sum of its proper divisors (186872902743030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121101122120202 is a wasteful number, since it uses less digits than its factorization.

121101122120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25976216723 (or 25976216720 counting only the distinct ones).

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

Adding to 121101122120202 its reverse (202021221101121), we get a palindrome (323122343221323).

The spelling of 121101122120202 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 25976216671 51952433342 77928650013 155857300026 181833516697 233785950039 363667033394 467571900078 545500550091 961120016827 1091001100182 1636501650273 1922240033654 2883360050481 3273003300546 5766720100962 6727840117789 8650080151443 13455680235578 17300160302886 20183520353367 40367040706734 60550561060101 121101122120202