Search a number
-
+
122111100221 = 1171977160033
BaseRepresentation
bin111000110111001100…
…0111000010100111101
3102200012010120121120112
41301232120320110331
54000040420201341
6132032544355405
711552012140355
oct1615630702475
9380163517515
10122111100221
1147872594a50
121b7ba915b65
13b6906907b6
145ca5881b65
15329a4b1aeb
hex1c6e63853d

122111100221 has 16 divisors (see below), whose sum is σ = 135227449728. Its totient is φ = 109333862400.

The previous prime is 122111100217. The next prime is 122111100229. The reversal of 122111100221 is 122001111221.

It is a cyclic number.

It is not a de Polignac number, because 122111100221 - 22 = 122111100217 is a prime.

It is a super-2 number, since 2×1221111002212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111100196 and 122111100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111100229) 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, 683021 + ... + 843053.

It is an arithmetic number, because the mean of its divisors is an integer number (8451715608).

Almost surely, 2122111100221 is an apocalyptic number.

122111100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111100221 is a deficient number, since it is larger than the sum of its proper divisors (13116349507).

122111100221 is a wasteful number, since it uses less digits than its factorization.

122111100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161092.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111100221 its reverse (122001111221), we get a palindrome (244112211442).

The spelling of 122111100221 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 71 781 977 10747 69367 160033 763037 1760363 11362343 124985773 156352241 1719874651 11101009111 122111100221