Search a number
-
+
10022122011221 = 181197367765859
BaseRepresentation
bin1001000111010111010100…
…0001011011101001010101
31022111002211220200212020022
42101311311001123221111
52303200301213324341
633152033240314525
72053034345341655
oct221656501335125
938432756625208
1010022122011221
1132143a3665521
12115a430472a45
1357910b3599a8
14269105190365
15125a72122e4b
hex91d7505ba55

10022122011221 has 16 divisors (see below), whose sum is σ = 10156259393280. Its totient is φ = 9889126107840.

The previous prime is 10022122011101. The next prime is 10022122011227. The reversal of 10022122011221 is 12211022122001.

10022122011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022122011221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022122011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022122011227) 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, 12703190 + ... + 13469048.

It is an arithmetic number, because the mean of its divisors is an integer number (634766212080).

Almost surely, 210022122011221 is an apocalyptic number.

It is an amenable number.

10022122011221 is a deficient number, since it is larger than the sum of its proper divisors (134137382059).

10022122011221 is a wasteful number, since it uses less digits than its factorization.

10022122011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766604.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10022122011221 its reverse (12211022122001), we get a palindrome (22233144133222).

The spelling of 10022122011221 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred twenty-one".

Divisors: 1 181 197 367 35657 66427 72299 765859 13086119 138620479 150874223 281070253 27308234363 50873715793 55370839841 10022122011221