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122322141 = 3261972297
BaseRepresentation
bin1110100101001…
…11110011011101
322112011121102200
413102213303131
5222303302031
620045442113
73013502214
oct722476335
9275147380
10122322141
1163058487
1234b70339
131c45ab86
141236207b
15ab138e6
hex74a7cdd

122322141 has 24 divisors (see below), whose sum is σ = 181514424. Its totient is φ = 79349760.

The previous prime is 122322139. The next prime is 122322149. The reversal of 122322141 is 141223221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 308025 + 122014116 = 555^2 + 11046^2 .

It is not a de Polignac number, because 122322141 - 21 = 122322139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122322149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52105 + ... + 54401.

It is an arithmetic number, because the mean of its divisors is an integer number (7563101).

Almost surely, 2122322141 is an apocalyptic number.

It is an amenable number.

122322141 is a deficient number, since it is larger than the sum of its proper divisors (59192283).

122322141 is a wasteful number, since it uses less digits than its factorization.

122322141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2458 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122322141 is about 11059.9340413946. The cubic root of 122322141 is about 496.4037168438.

Adding to 122322141 its reverse (141223221), we get a palindrome (263545362).

The spelling of 122322141 in words is "one hundred twenty-two million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 61 97 183 291 549 873 2297 5917 6891 17751 20673 53253 140117 222809 420351 668427 1261053 2005281 13591349 40774047 122322141