Search a number
-
+
122123200323301 is a prime number
BaseRepresentation
bin11011110001001000000101…
…111110010101111011100101
3121000101212022210202202122121
4123301020011332111323211
5112001331303240321201
61111422342420225541
734503052515152242
oct3361100576257345
9530355283682577
10122123200323301
1135a04181923401
121184436483b2b1
13531b225bcb118
142222b19cd65c9
15e1ba8854c9a1
hex6f1205f95ee5

122123200323301 has 2 divisors, whose sum is σ = 122123200323302. Its totient is φ = 122123200323300.

The previous prime is 122123200323191. The next prime is 122123200323323. The reversal of 122123200323301 is 103323002321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120829032435076 + 1294167888225 = 10992226^2 + 1137615^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123200323301 - 221 = 122123198226149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123123200323301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061600161650 + 61061600161651.

It is an arithmetic number, because the mean of its divisors is an integer number (61061600161651).

Almost surely, 2122123200323301 is an apocalyptic number.

It is an amenable number.

122123200323301 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123200323301 is an equidigital number, since it uses as much as digits as its factorization.

122123200323301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 122123200323301 its reverse (103323002321221), we get a palindrome (225446202644522).

The spelling of 122123200323301 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred million, three hundred twenty-three thousand, three hundred one".