Search a number
-
+
122057681 is a prime number
BaseRepresentation
bin1110100011001…
…11001111010001
322111200011122212
413101213033101
5222221321211
620040041505
73011321204
oct721471721
9274604585
10122057681
1162997819
1234a63295
131c3976a5
14122d393b
15aab038b
hex74673d1

122057681 has 2 divisors, whose sum is σ = 122057682. Its totient is φ = 122057680.

The previous prime is 122057669. The next prime is 122057701. The reversal of 122057681 is 186750221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72931600 + 49126081 = 8540^2 + 7009^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122057681 is a prime.

It is a super-2 number, since 2×1220576812 = 29796154982195522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122057651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61028840 + 61028841.

It is an arithmetic number, because the mean of its divisors is an integer number (61028841).

Almost surely, 2122057681 is an apocalyptic number.

It is an amenable number.

122057681 is a deficient number, since it is larger than the sum of its proper divisors (1).

122057681 is an equidigital number, since it uses as much as digits as its factorization.

122057681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 122057681 is about 11047.9718048156. The cubic root of 122057681 is about 496.0457177444.

The spelling of 122057681 in words is "one hundred twenty-two million, fifty-seven thousand, six hundred eighty-one".