Search a number
-
+
122155370581 is a prime number
BaseRepresentation
bin111000111000100000…
…1110000100001010101
3102200022012212210002111
41301301001300201111
54000133233324311
6132041205311021
711553060342436
oct1616101604125
9380265783074
10122155370581
1147895581a22
121b811705471
13b6998c0c8a
145cab6c748d
15329e308d21
hex1c71070855

122155370581 has 2 divisors, whose sum is σ = 122155370582. Its totient is φ = 122155370580.

The previous prime is 122155370563. The next prime is 122155370677. The reversal of 122155370581 is 185073551221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89022269956 + 33133100625 = 298366^2 + 182025^2 .

It is a cyclic number.

It is not a de Polignac number, because 122155370581 - 27 = 122155370453 is a prime.

It is a super-3 number, since 3×1221553705813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122155370681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61077685290 + 61077685291.

It is an arithmetic number, because the mean of its divisors is an integer number (61077685291).

Almost surely, 2122155370581 is an apocalyptic number.

It is an amenable number.

122155370581 is a deficient number, since it is larger than the sum of its proper divisors (1).

122155370581 is an equidigital number, since it uses as much as digits as its factorization.

122155370581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 122155370581 in words is "one hundred twenty-two billion, one hundred fifty-five million, three hundred seventy thousand, five hundred eighty-one".