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122042241 = 3344910067
BaseRepresentation
bin1110100011000…
…11011110000001
322111122101111000
413101203132001
5222220322431
620035442213
73011225166
oct721433601
9274571430
10122042241
1162987162
1234a56369
131c390659
14122cc06d
15aaaa9e6
hex7463781

122042241 has 16 divisors (see below), whose sum is σ = 181224000. Its totient is φ = 81172224.

The previous prime is 122042233. The next prime is 122042251. The reversal of 122042241 is 142240221.

It is not a de Polignac number, because 122042241 - 23 = 122042233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122042251) 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 in 15 ways as a sum of consecutive naturals, for example, 7090 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (11326500).

Almost surely, 2122042241 is an apocalyptic number.

It is an amenable number.

122042241 is a deficient number, since it is larger than the sum of its proper divisors (59181759).

122042241 is a wasteful number, since it uses less digits than its factorization.

122042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122042241 is about 11047.2730119247. The cubic root of 122042241 is about 496.0248006698.

Adding to 122042241 its reverse (142240221), we get a palindrome (264282462).

The spelling of 122042241 in words is "one hundred twenty-two million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 449 1347 4041 10067 12123 30201 90603 271809 4520083 13560249 40680747 122042241