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2122032133 = 131429114229
BaseRepresentation
bin111111001111011…
…1010010000000101
312110212222101211201
41332132322100011
513321220012013
6550322302501
7103404655414
oct17636722005
95425871751
102122032133
11999917171
124b27b7a31
1327a833220
14161b8347b
15c646a3dd
hex7e7ba405

2122032133 has 8 divisors (see below), whose sum is σ = 2286884600. Its totient is φ = 1957411008.

The previous prime is 2122032113. The next prime is 2122032137. The reversal of 2122032133 is 3312302212.

It can be written as a sum of positive squares in 4 ways, for example, as 26040609 + 2095991524 = 5103^2 + 45782^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122032133 - 213 = 2122023941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122032133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122032137) 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 7 ways as a sum of consecutive naturals, for example, 38538 + ... + 75691.

It is an arithmetic number, because the mean of its divisors is an integer number (285860575).

Almost surely, 22122032133 is an apocalyptic number.

It is an amenable number.

2122032133 is a deficient number, since it is larger than the sum of its proper divisors (164852467).

2122032133 is a wasteful number, since it uses less digits than its factorization.

2122032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115671.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2122032133 is about 46065.5200014067. The cubic root of 2122032133 is about 1285.0419892712.

Adding to 2122032133 its reverse (3312302212), we get a palindrome (5434334345).

The spelling of 2122032133 in words is "two billion, one hundred twenty-two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 1429 18577 114229 1484977 163233241 2122032133