Search a number
-
+
122202121217021 is a prime number
BaseRepresentation
bin11011110010010001100110…
…000001101010001111111101
3121000200102000221100120010022
4123302101212001222033331
5112004124421012421041
61111522513545021525
734511545324531346
oct3362214601521775
9530612027316108
10122202121217021
1135a346a0695a0a
121185770b1848a5
1353257c25b93c1
1422268856110cd
15e1db56e1124b
hex6f246606a3fd

122202121217021 has 2 divisors, whose sum is σ = 122202121217022. Its totient is φ = 122202121217020.

The previous prime is 122202121216961. The next prime is 122202121217023. The reversal of 122202121217021 is 120712121202221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117185193194521 + 5016928022500 = 10825211^2 + 2239850^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202121217021 - 222 = 122202117022717 is a prime.

It is a super-2 number, since 2×1222021212170212 (a number of 29 digits) contains 22 as substring.

Together with 122202121217023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122202121217023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101060608510 + 61101060608511.

It is an arithmetic number, because the mean of its divisors is an integer number (61101060608511).

Almost surely, 2122202121217021 is an apocalyptic number.

It is an amenable number.

122202121217021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202121217021 is an equidigital number, since it uses as much as digits as its factorization.

122202121217021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 122202121217021 its reverse (120712121202221), we get a palindrome (242914242419242).

The spelling of 122202121217021 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred twenty-one million, two hundred seventeen thousand, twenty-one".