Search a number
-
+
122309261 is a prime number
BaseRepresentation
bin1110100101001…
…00101010001101
322112010221202122
413102210222031
5222302344021
620045302325
73013416524
oct722445215
9275127678
10122309261
1163049838
1234b649a5
131c455059
141235b4bb
15ab0ebab
hex74a4a8d

122309261 has 2 divisors, whose sum is σ = 122309262. Its totient is φ = 122309260.

The previous prime is 122309249. The next prime is 122309267. The reversal of 122309261 is 162903221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121132036 + 1177225 = 11006^2 + 1085^2 .

It is a cyclic number.

It is not a de Polignac number, because 122309261 - 26 = 122309197 is a prime.

It is a super-2 number, since 2×1223092612 = 29919110652732242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122309261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122309267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61154630 + 61154631.

It is an arithmetic number, because the mean of its divisors is an integer number (61154631).

Almost surely, 2122309261 is an apocalyptic number.

It is an amenable number.

122309261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122309261 is an equidigital number, since it uses as much as digits as its factorization.

122309261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 122309261 is about 11059.3517441123. The cubic root of 122309261 is about 496.3862931671.

The spelling of 122309261 in words is "one hundred twenty-two million, three hundred nine thousand, two hundred sixty-one".