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2132122133 = 17229547681
BaseRepresentation
bin111111100010101…
…1001101000010101
312111120222000201102
41333011121220111
513331310402013
6551322435445
7103556511341
oct17705315025
95446860642
102132122133
119a4588a09
124b6062b85
1327c956a3b
1416324c621
15c72aed58
hex7f159a15

2132122133 has 8 divisors (see below), whose sum is σ = 2267403480. Its totient is φ = 1997936640.

The previous prime is 2132122129. The next prime is 2132122141. The reversal of 2132122133 is 3312212312.

It can be written as a sum of positive squares in 4 ways, for example, as 1824400369 + 307721764 = 42713^2 + 17542^2 .

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 2132122133 - 22 = 2132122129 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 (2132122033) 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, 269948 + ... + 277733.

It is an arithmetic number, because the mean of its divisors is an integer number (283425435).

Almost surely, 22132122133 is an apocalyptic number.

It is an amenable number.

2132122133 is a deficient number, since it is larger than the sum of its proper divisors (135281347).

2132122133 is a wasteful number, since it uses less digits than its factorization.

2132122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547927.

The product of its digits is 432, while the sum is 20.

The square root of 2132122133 is about 46174.9080453876. The cubic root of 2132122133 is about 1287.0755081318.

Adding to 2132122133 its reverse (3312212312), we get a palindrome (5444334445).

The spelling of 2132122133 in words is "two billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 17 229 3893 547681 9310577 125418949 2132122133