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2132131121 = 113157120181
BaseRepresentation
bin111111100010101…
…1011110100110001
312111120222111001022
41333011123310301
513331311143441
6551322545225
7103556546501
oct17705336461
95446874038
102132131121
119a459473a
124b6068215
1327c95ab63
14163251a01
15c72b284b
hex7f15bd31

2132131121 has 8 divisors (see below), whose sum is σ = 2164718184. Its totient is φ = 2099784960.

The previous prime is 2132131103. The next prime is 2132131123. The reversal of 2132131121 is 1211312312.

It can be written as a sum of positive squares in 4 ways, for example, as 135024400 + 1997106721 = 11620^2 + 44689^2 .

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 2132131121 - 210 = 2132130097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2132131121.

It is not an unprimeable number, because it can be changed into a prime (2132131123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42350 + ... + 77831.

It is an arithmetic number, because the mean of its divisors is an integer number (270589773).

Almost surely, 22132131121 is an apocalyptic number.

It is an amenable number.

2132131121 is a deficient number, since it is larger than the sum of its proper divisors (32587063).

2132131121 is a wasteful number, since it uses less digits than its factorization.

2132131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120451.

The product of its digits is 72, while the sum is 17.

The square root of 2132131121 is about 46175.0053708714. The cubic root of 2132131121 is about 1287.0773166927.

Adding to 2132131121 its reverse (1211312312), we get a palindrome (3343443433).

The spelling of 2132131121 in words is "two billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 113 157 17741 120181 13580453 18868417 2132131121