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33122141 = 132375297
BaseRepresentation
bin111111001011…
…0011101011101
32022022210000222
41332112131131
531434402031
63141531125
7551351003
oct176263535
968283028
1033122141
1117773178
12b113aa5
136b29100
144582a73
152d93e7b
hex1f9675d

33122141 has 12 divisors (see below), whose sum is σ = 36842292. Its totient is φ = 29742336.

The previous prime is 33122101. The next prime is 33122143. The reversal of 33122141 is 14122133.

It can be written as a sum of positive squares in 6 ways, for example, as 2116 + 33120025 = 46^2 + 5755^2 .

It is not a de Polignac number, because 33122141 - 26 = 33122077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122143) 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 11 ways as a sum of consecutive naturals, for example, 3605 + ... + 8901.

It is an arithmetic number, because the mean of its divisors is an integer number (3070191).

Almost surely, 233122141 is an apocalyptic number.

It is an amenable number.

33122141 is a deficient number, since it is larger than the sum of its proper divisors (3720151).

33122141 is a wasteful number, since it uses less digits than its factorization.

33122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5347 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 33122141 is about 5755.1838372028. The cubic root of 33122141 is about 321.1486745097.

Adding to 33122141 its reverse (14122133), we get a palindrome (47244274).

The spelling of 33122141 in words is "thirty-three million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 13 37 169 481 5297 6253 68861 195989 895193 2547857 33122141