Search a number
-
+
122123321103281 is a prime number
BaseRepresentation
bin11011110001001000001101…
…001011000101001110110001
3121000101212122020001000122012
4123301020031023011032301
5112001332030200301111
61111422402413052305
734503055512602411
oct3361101513051661
9530355566030565
10122123321103281
1135a04234018173
1211844399187095
13531b244c39074
142222b2bd76641
15e1ba93e5948b
hex6f120d2c53b1

122123321103281 has 2 divisors, whose sum is σ = 122123321103282. Its totient is φ = 122123321103280.

The previous prime is 122123321103257. The next prime is 122123321103307. The reversal of 122123321103281 is 182301123321221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99246624307600 + 22876696795681 = 9962260^2 + 4782959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122123321103281 is a prime.

It is a super-2 number, since 2×1221233211032812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122123321100281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061660551640 + 61061660551641.

It is an arithmetic number, because the mean of its divisors is an integer number (61061660551641).

Almost surely, 2122123321103281 is an apocalyptic number.

It is an amenable number.

122123321103281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123321103281 is an equidigital number, since it uses as much as digits as its factorization.

122123321103281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 122123321103281 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred three thousand, two hundred eighty-one".