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2142122033 = 2922547113
BaseRepresentation
bin111111110101110…
…0011000000110001
312112021210002000002
41333223203000301
513341340401113
6552321035345
7104040510512
oct17753430061
95467702002
102142122033
119aa198a97
124b9485b55
13281a4853c
141646d2a09
15c80d7c58
hex7fae3031

2142122033 has 6 divisors (see below), whose sum is σ = 2218536294. Its totient is φ = 2068254944.

The previous prime is 2142121981. The next prime is 2142122053. The reversal of 2142122033 is 3302212412.

It can be written as a sum of positive squares in 3 ways, for example, as 20322064 + 2121799969 = 4508^2 + 46063^2 .

It is not a de Polignac number, because 2142122033 - 212 = 2142117937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142121996 and 2142122014.

It is not an unprimeable number, because it can be changed into a prime (2142122053) 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 5 ways as a sum of consecutive naturals, for example, 1272716 + ... + 1274397.

It is an arithmetic number, because the mean of its divisors is an integer number (369756049).

Almost surely, 22142122033 is an apocalyptic number.

It is an amenable number.

2142122033 is a deficient number, since it is larger than the sum of its proper divisors (76414261).

2142122033 is an equidigital number, since it uses as much as digits as its factorization.

2142122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547171 (or 2547142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2142122033 is about 46283.0642135976. The cubic root of 2142122033 is about 1289.0845483057.

Adding to 2142122033 its reverse (3302212412), we get a palindrome (5444334445).

The spelling of 2142122033 in words is "two billion, one hundred forty-two million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 29 841 2547113 73866277 2142122033