Search a number
-
+
122113522105 = 533799772689
BaseRepresentation
bin111000110111010001…
…0000111100110111001
3102200012022010122202221
41301232202013212321
54000042030201410
6132033112324041
711552041545301
oct1615642074671
9380168118687
10122113522105
1147873999603
121b7bb6a3621
13b69102ac73
145ca5d12601
15329a7de4da
hex1c6e8879b9

122113522105 has 16 divisors (see below), whose sum is σ = 147120489360. Its totient is φ = 97301901312.

The previous prime is 122113522079. The next prime is 122113522109. The reversal of 122113522105 is 501225311221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6442791289 + 115670730816 = 80267^2 + 340104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122113522105 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122113522105.

It is not an unprimeable number, because it can be changed into a prime (122113522109) 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, 1643601 + ... + 1716289.

It is an arithmetic number, because the mean of its divisors is an integer number (9195030585).

Almost surely, 2122113522105 is an apocalyptic number.

It is an amenable number.

122113522105 is a deficient number, since it is larger than the sum of its proper divisors (25006967255).

122113522105 is an equidigital number, since it uses as much as digits as its factorization.

122113522105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74028.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 122113522105 its reverse (501225311221), we get a palindrome (623338833326).

The spelling of 122113522105 in words is "one hundred twenty-two billion, one hundred thirteen million, five hundred twenty-two thousand, one hundred five".

Divisors: 1 5 337 997 1685 4985 72689 335989 363445 1679945 24496193 72470933 122480965 362354665 24422704421 122113522105