Search a number
-
+
122131312255373 is a prime number
BaseRepresentation
bin11011110001001111101001…
…011110111010000110001101
3121000102122021010210121111012
4123301033221132322012031
5112001444411414132443
61111430203355135005
734503460525352051
oct3361175136720615
9530378233717435
10122131312255373
1135a076648a1aa3
1211845a49444465
13531bc196a1b25
1422232893b9c61
15e1bdb07a8118
hex6f13e97ba18d

122131312255373 has 2 divisors, whose sum is σ = 122131312255374. Its totient is φ = 122131312255372.

The previous prime is 122131312255369. The next prime is 122131312255417. The reversal of 122131312255373 is 373552213131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104908662855049 + 17222649400324 = 10242493^2 + 4150018^2 .

It is an emirp because it is prime and its reverse (373552213131221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122131312255373 - 22 = 122131312255369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122131312255373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131312855373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065656127686 + 61065656127687.

It is an arithmetic number, because the mean of its divisors is an integer number (61065656127687).

Almost surely, 2122131312255373 is an apocalyptic number.

It is an amenable number.

122131312255373 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131312255373 is an equidigital number, since it uses as much as digits as its factorization.

122131312255373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 41.

Adding to 122131312255373 its reverse (373552213131221), we get a palindrome (495683525386594).

The spelling of 122131312255373 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred twelve million, two hundred fifty-five thousand, three hundred seventy-three".