Search a number
-
+
13122112261 is a prime number
BaseRepresentation
bin11000011100010001…
…11000101100000101
31020212111120100222211
430032020320230011
5203333230043021
610010032223421
7643115054026
oct141610705405
936774510884
1013122112261
1156240aa185
12266269ab71
13131178818b
148c6a74c4d
1551c0233e1
hex30e238b05

13122112261 has 2 divisors, whose sum is σ = 13122112262. Its totient is φ = 13122112260.

The previous prime is 13122112249. The next prime is 13122112277. The reversal of 13122112261 is 16221122131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9522832225 + 3599280036 = 97585^2 + 59994^2 .

It is a cyclic number.

It is not a de Polignac number, because 13122112261 - 217 = 13121981189 is a prime.

It is a super-3 number, since 3×131221122613 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122112561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561056130 + 6561056131.

It is an arithmetic number, because the mean of its divisors is an integer number (6561056131).

Almost surely, 213122112261 is an apocalyptic number.

It is an amenable number.

13122112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122112261 is an equidigital number, since it uses as much as digits as its factorization.

13122112261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 22.

Adding to 13122112261 its reverse (16221122131), we get a palindrome (29343234392).

The spelling of 13122112261 in words is "thirteen billion, one hundred twenty-two million, one hundred twelve thousand, two hundred sixty-one".