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122146681 is a prime number
BaseRepresentation
bin1110100011111…
…00111101111001
322111211200202011
413101330331321
5222232143211
620042005521
73012141526
oct721747571
9274750664
10122146681
1162a48678
1234aa68a1
131c3c9057
141231814d
15aacb921
hex747cf79

122146681 has 2 divisors, whose sum is σ = 122146682. Its totient is φ = 122146680.

The previous prime is 122146669. The next prime is 122146699. The reversal of 122146681 is 186641221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120231225 + 1915456 = 10965^2 + 1384^2 .

It is a cyclic number.

It is not a de Polignac number, because 122146681 - 27 = 122146553 is a prime.

It is a super-3 number, since 3×1221466813 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (122146481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61073340 + 61073341.

It is an arithmetic number, because the mean of its divisors is an integer number (61073341).

Almost surely, 2122146681 is an apocalyptic number.

It is an amenable number.

122146681 is a deficient number, since it is larger than the sum of its proper divisors (1).

122146681 is an equidigital number, since it uses as much as digits as its factorization.

122146681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 31.

The square root of 122146681 is about 11051.9989594643. The cubic root of 122146681 is about 496.1662545881.

The spelling of 122146681 in words is "one hundred twenty-two million, one hundred forty-six thousand, six hundred eighty-one".