Search a number
-
+
112121010022121 = 17109137947438631
BaseRepresentation
bin11001011111100100110100…
…111110010110011011101001
3112200222122220222002200110022
4121133210310332112123221
5104143442312031201441
61034243403025330225
732421322102322132
oct3137446476263351
9480878828080408
10112121010022121
11327a8287194721
12106a9977496975
134a73c730589c9
141d98985d32c89
15ce67d11a684b
hex65f934f966e9

112121010022121 has 16 divisors (see below), whose sum is σ = 119806646129280. Its totient is φ = 104556534877440.

The previous prime is 112121010022097. The next prime is 112121010022127. The reversal of 112121010022121 is 121220010121211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112121010022121 is a prime.

It is a super-2 number, since 2×1121210100221212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112121010022121.

It is not an unprimeable number, because it can be changed into a prime (112121010022127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255396476 + ... + 255835106.

It is an arithmetic number, because the mean of its divisors is an integer number (7487915383080).

Almost surely, 2112121010022121 is an apocalyptic number.

It is an amenable number.

112121010022121 is a deficient number, since it is larger than the sum of its proper divisors (7685636107159).

112121010022121 is a wasteful number, since it uses less digits than its factorization.

112121010022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576704.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112121010022121 its reverse (121220010121211), we get a palindrome (233341020143332).

The spelling of 112121010022121 in words is "one hundred twelve trillion, one hundred twenty-one billion, ten million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 17 109 1853 137947 438631 2345099 7456727 15036223 47810779 255615791 812783243 60507830557 1028633119469 6595353530713 112121010022121