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2131200213 = 341831071951
BaseRepresentation
bin111111100000111…
…1000100011010101
312111112020012002020
41333001320203111
513331041401323
6551251003353
7103545621462
oct17701704325
95445205066
102131200213
119a400929a
124b5899559
1327c6c321c
1416308c669
15c717bae3
hex7f0788d5

2131200213 has 32 divisors (see below), whose sum is σ = 2975035392. Its totient is φ = 1355952000.

The previous prime is 2131200209. The next prime is 2131200229. The reversal of 2131200213 is 3120021312.

It is not a de Polignac number, because 2131200213 - 22 = 2131200209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2131200192 and 2131200201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131200613) 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 31 ways as a sum of consecutive naturals, for example, 1091388 + ... + 1093338.

It is an arithmetic number, because the mean of its divisors is an integer number (92969856).

Almost surely, 22131200213 is an apocalyptic number.

It is an amenable number.

2131200213 is a deficient number, since it is larger than the sum of its proper divisors (843835179).

2131200213 is a wasteful number, since it uses less digits than its factorization.

2131200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2131200213 is about 46164.9240549576. The cubic root of 2131200213 is about 1286.8899728382.

Adding to 2131200213 its reverse (3120021312), we get a palindrome (5251221525).

The spelling of 2131200213 in words is "two billion, one hundred thirty-one million, two hundred thousand, two hundred thirteen".

Divisors: 1 3 41 83 107 123 249 321 1951 3403 4387 5853 8881 10209 13161 26643 79991 161933 208757 239973 364121 485799 626271 1092363 6639253 8559037 17326831 19917759 25677111 51980493 710400071 2131200213