Search a number
-
+
2122113100331 = 72312683520703
BaseRepresentation
bin11110111000010111110…
…011000010101000101011
321111212112201012002011202
4132320113303002220223
5234232041423202311
64302515120314415
7306213640505600
oct36702763025053
97455481162152
102122113100331
11748a8a581514
122a3343472a0b
13125164475363
14749d46d26a7
153a303736e3b
hex1ee17cc2a2b

2122113100331 has 24 divisors (see below), whose sum is σ = 2549166833664. Its totient is φ = 1759618682640.

The previous prime is 2122113100319. The next prime is 2122113100339. The reversal of 2122113100331 is 1330013112212.

It is a happy number.

It is not a de Polignac number, because 2122113100331 - 210 = 2122113099307 is a prime.

It is a super-2 number, since 2×21221131003312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122113100339) 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, 3815126 + ... + 4335828.

It is an arithmetic number, because the mean of its divisors is an integer number (106215284736).

Almost surely, 22122113100331 is an apocalyptic number.

2122113100331 is a deficient number, since it is larger than the sum of its proper divisors (427053733333).

2122113100331 is a wasteful number, since it uses less digits than its factorization.

2122113100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523431 (or 523424 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2122113100331 its reverse (1330013112212), we get a palindrome (3452126212543).

The spelling of 2122113100331 in words is "two trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred thousand, three hundred thirty-one".

Divisors: 1 7 31 49 217 1519 2683 18781 83173 131467 520703 582211 3644921 4075477 16141793 25514447 112992551 790947857 1397046149 9779323043 43308430619 68455261301 303159014333 2122113100331