Search a number
-
+
122112303111 = 334522677893
BaseRepresentation
bin111000110111001110…
…1011110000000000111
3102200012012211201122000
41301232131132000013
54000041222144421
6132033030240343
711552025310341
oct1615635360007
9380165751560
10122112303111
1147873236777
121b7bb1b60b3
13b6909c2176
145ca5ab6291
15329a64d226
hex1c6e75e007

122112303111 has 8 divisors (see below), whose sum is σ = 180907115760. Its totient is φ = 81408202056.

The previous prime is 122112303109. The next prime is 122112303139. The reversal of 122112303111 is 111303211221.

122112303111 is a `hidden beast` number, since 122 + 1 + 1 + 230 + 311 + 1 = 666.

It is not a de Polignac number, because 122112303111 - 21 = 122112303109 is a prime.

It is a super-2 number, since 2×1221123031112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112303151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261338920 + ... + 2261338973.

It is an arithmetic number, because the mean of its divisors is an integer number (22613389470).

Almost surely, 2122112303111 is an apocalyptic number.

122112303111 is a deficient number, since it is larger than the sum of its proper divisors (58794812649).

122112303111 is an equidigital number, since it uses as much as digits as its factorization.

122112303111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522677902 (or 4522677896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122112303111 its reverse (111303211221), we get a palindrome (233415514332).

The spelling of 122112303111 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred three thousand, one hundred eleven".

Divisors: 1 3 9 27 4522677893 13568033679 40704101037 122112303111