Search a number
-
+
22202302212123 = 3112308729141813
BaseRepresentation
bin1010000110001011000000…
…10101100010100000011011
32220121112000121121112102220
411003011200111202200123
510402230303331241443
6115115332525355123
74451030513660445
oct503054025424033
986545017545386
1022202302212123
11708aa41871070
1225a6b56108aa3
13c5088bb05267
1456a850875495
152877ed494a83
hex14316056281b

22202302212123 has 16 divisors (see below), whose sum is σ = 32295657678336. Its totient is φ = 13455357436640.

The previous prime is 22202302212121. The next prime is 22202302212137. The reversal of 22202302212123 is 32121220320222.

It is a cyclic number.

It is not a de Polignac number, because 22202302212123 - 21 = 22202302212121 is a prime.

It is a super-3 number, since 3×222023022121233 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22202302212093 and 22202302212102.

It is not an unprimeable number, because it can be changed into a prime (22202302212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13809036 + ... + 15332777.

It is an arithmetic number, because the mean of its divisors is an integer number (2018478604896).

Almost surely, 222202302212123 is an apocalyptic number.

22202302212123 is a deficient number, since it is larger than the sum of its proper divisors (10093355466213).

22202302212123 is a wasteful number, since it uses less digits than its factorization.

22202302212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29164914.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22202302212123 its reverse (32121220320222), we get a palindrome (54323522532345).

The spelling of 22202302212123 in words is "twenty-two trillion, two hundred two billion, three hundred two million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 11 33 23087 69261 253957 761871 29141813 87425439 320559943 961679829 672797036731 2018391110193 7400767404041 22202302212123