Search a number
-
+
2120022122022 = 232799716876201
BaseRepresentation
bin11110110110011011001…
…010100101111000100110
321111200010222122101011200
4132312123022211320212
5234213301130401042
64301531423343330
7306111060465120
oct36663312457046
97450128571150
102120022122022
11748107245572
122a2a5b151b46
13124bc01c599c
1474876b14210
153a22eda2c4c
hex1ed9b2a5e26

2120022122022 has 48 divisors (see below), whose sum is σ = 5254844273952. Its totient is φ = 605113027200.

The previous prime is 2120022122011. The next prime is 2120022122027. The reversal of 2120022122022 is 2202212200212.

2120022122022 is a `hidden beast` number, since 2 + 1 + 200 + 221 + 220 + 22 = 666.

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 = 2120022121986 and 2120022122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120022122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8312479 + ... + 8563722.

It is an arithmetic number, because the mean of its divisors is an integer number (109475922374).

Almost surely, 22120022122022 is an apocalyptic number.

2120022122022 is an abundant number, since it is smaller than the sum of its proper divisors (3134822151930).

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

2120022122022 is a wasteful number, since it uses less digits than its factorization.

2120022122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16877213 (or 16877210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120022122022 its reverse (2202212200212), we get a palindrome (4322234322234).

The spelling of 2120022122022 in words is "two trillion, one hundred twenty billion, twenty-two million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 997 1994 2991 5982 6979 8973 13958 17946 20937 41874 62811 125622 16876201 33752402 50628603 101257206 118133407 151885809 236266814 303771618 354400221 708800442 1063200663 2126401326 16825572397 33651144794 50476717191 100953434382 117779006779 151430151573 235558013558 302860303146 353337020337 706674040674 1060011061011 2120022122022