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2131133121 = 321329628097
BaseRepresentation
bin111111100000110…
…1000001011000001
312111112002210001100
41333001220023001
513331032224441
6551245325013
7103545222045
oct17701501301
95445083040
102131133121
119a3a72947
124b5866769
1327c69b820
14163072025
15c7166cb6
hex7f0682c1

2131133121 has 24 divisors (see below), whose sum is σ = 3429415080. Its totient is φ = 1266241536.

The previous prime is 2131133117. The next prime is 2131133129. The reversal of 2131133121 is 1213311312.

2131133121 is a `hidden beast` number, since 2 + 1 + 311 + 331 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 319694400 + 1811438721 = 17880^2 + 42561^2 .

It is not a de Polignac number, because 2131133121 - 22 = 2131133117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2131133094 and 2131133103.

It is not an unprimeable number, because it can be changed into a prime (2131133129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310656 + ... + 317441.

It is an arithmetic number, because the mean of its divisors is an integer number (142892295).

Almost surely, 22131133121 is an apocalyptic number.

It is an amenable number.

2131133121 is a deficient number, since it is larger than the sum of its proper divisors (1298281959).

2131133121 is a wasteful number, since it uses less digits than its factorization.

2131133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628145 (or 628142 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2131133121 is about 46164.1973936513. The cubic root of 2131133121 is about 1286.8764685653.

Adding to 2131133121 its reverse (1213311312), we get a palindrome (3344444433).

The spelling of 2131133121 in words is "two billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 628097 1884291 5652873 8165261 18214813 24495783 54644439 73487349 163933317 236792569 710377707 2131133121