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122221141 = 722938513
BaseRepresentation
bin1110100100011…
…11001001010101
322111222110212221
413102033021111
5222242034031
620043342341
73012601600
oct722171125
9274873787
10122221141
1162a99609
1234b219b1
131c423c03
1412337337
15aae3a11
hex748f255

122221141 has 12 divisors (see below), whose sum is σ = 142677612. Its totient is φ = 104391168.

The previous prime is 122221087. The next prime is 122221147. The reversal of 122221141 is 141122221.

It can be written as a sum of positive squares in 2 ways, for example, as 117722500 + 4498641 = 10850^2 + 2121^2 .

It is not a de Polignac number, because 122221141 - 29 = 122220629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10101 + ... + 18613.

It is an arithmetic number, because the mean of its divisors is an integer number (11889801).

Almost surely, 2122221141 is an apocalyptic number.

It is an amenable number.

122221141 is a deficient number, since it is larger than the sum of its proper divisors (20456471).

122221141 is an equidigital number, since it uses as much as digits as its factorization.

122221141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8813 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 122221141 is about 11055.3670676283. The cubic root of 122221141 is about 496.2670542564.

Adding to 122221141 its reverse (141122221), we get a palindrome (263343362).

The spelling of 122221141 in words is "one hundred twenty-two million, two hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 7 49 293 2051 8513 14357 59591 417137 2494309 17460163 122221141