Search a number
-
+
121110202112022 = 2337354733049441
BaseRepresentation
bin11011100010011000101010…
…100100110101100000010110
3120212211000121012220210101000
4123202120222210311200112
5111333232143220041042
61105325131521044130
734336631465345424
oct3342305244654026
9525730535823330
10121110202112022
1135653603834a42
12116bbb75786646
135276848a38b06
1421c9a9d46c114
15e0054aad974c
hex6e262a935816

121110202112022 has 32 divisors (see below), whose sum is σ = 269134236660960. Its totient is φ = 40369999242240.

The previous prime is 121110202111981. The next prime is 121110202112023. The reversal of 121110202112022 is 220211202011121.

121110202112022 is a `hidden beast` number, since 121 + 110 + 20 + 211 + 202 + 2 = 666.

It is a super-2 number, since 2×1211102021120222 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 121110202111986 and 121110202112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110202112023) 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, 38190822 + ... + 41240262.

It is an arithmetic number, because the mean of its divisors is an integer number (8410444895655).

Almost surely, 2121110202112022 is an apocalyptic number.

121110202112022 is an abundant number, since it is smaller than the sum of its proper divisors (148024034548938).

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

121110202112022 is a wasteful number, since it uses less digits than its factorization.

121110202112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784925 (or 3784919 counting only the distinct ones).

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

Adding to 121110202112022 its reverse (220211202011121), we get a palindrome (341321404123143).

The spelling of 121110202112022 in words is "one hundred twenty-one trillion, one hundred ten billion, two hundred two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 735473 1470946 2206419 3049441 4412838 6098882 6619257 9148323 13238514 18296646 19857771 27444969 39715542 54889938 82334907 164669814 2242781520593 4485563041186 6728344561779 13456689123558 20185033685337 40370067370674 60555101056011 121110202112022