Search a number
-
+
122021202111211 = 13195362871482583
BaseRepresentation
bin11011101111101001000110…
…011010000010101011101011
3121000001010001101010201201201
4123233221012122002223223
5111443143410220024321
61111303433312425031
734462512065516434
oct3357510632025353
9530033041121651
10122021202111211
11359749a0561a57
1211828639848177
13531171c41c080
14221bc0172448b
15e190b8ba5291
hex6efa46682aeb

122021202111211 has 32 divisors (see below), whose sum is σ = 140956021463040. Its totient is φ = 104676741396864.

The previous prime is 122021202111191. The next prime is 122021202111227. The reversal of 122021202111211 is 112111202120221.

It is a happy number.

It is not a de Polignac number, because 122021202111211 - 29 = 122021202110699 is a prime.

It is a super-2 number, since 2×1220212021112112 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122021202111241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81561826 + ... + 83044408.

It is an arithmetic number, because the mean of its divisors is an integer number (4404875670720).

Almost surely, 2122021202111211 is an apocalyptic number.

122021202111211 is a deficient number, since it is larger than the sum of its proper divisors (18934819351829).

122021202111211 is a wasteful number, since it uses less digits than its factorization.

122021202111211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488955.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122021202111211 its reverse (112111202120221), we get a palindrome (234132404231432).

The spelling of 122021202111211 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred two million, one hundred eleven thousand, two hundred eleven".

Divisors: 1 13 19 53 247 689 1007 6287 13091 81731 119453 333211 1482583 1552889 4331743 6331009 19273579 28169077 78576899 82303117 366198001 1021499687 1492961081 9320999321 19408494053 121172991173 177098987099 494012964013 2302286832287 6422168532169 9386246316247 122021202111211