Search a number
-
+
122100210200233 is a prime number
BaseRepresentation
bin11011110000110010101011…
…101001111110111010101001
3121000022122222120210111200001
4123300302223221332322221
5112000442212302401413
61111404021234143001
734501310014300336
oct3360625351767251
9530278876714601
10122100210200233
11359a545456a6a1
121183ba09421a61
135319000bb97c5
14222197885998d
15e1b19003e4dd
hex6f0caba7eea9

122100210200233 has 2 divisors, whose sum is σ = 122100210200234. Its totient is φ = 122100210200232.

The previous prime is 122100210200209. The next prime is 122100210200239. The reversal of 122100210200233 is 332002012001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85830089389209 + 36270120811024 = 9264453^2 + 6022468^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100210200233 - 213 = 122100210192041 is a prime.

It is a super-2 number, since 2×1221002102002332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122100210200233.

It is not a weakly prime, because it can be changed into another prime (122100210200239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050105100116 + 61050105100117.

It is an arithmetic number, because the mean of its divisors is an integer number (61050105100117).

Almost surely, 2122100210200233 is an apocalyptic number.

It is an amenable number.

122100210200233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100210200233 is an equidigital number, since it uses as much as digits as its factorization.

122100210200233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122100210200233 its reverse (332002012001221), we get a palindrome (454102222201454).

The spelling of 122100210200233 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, two hundred thousand, two hundred thirty-three".