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2130000213 = 31171909091
BaseRepresentation
bin111111011110101…
…0011100101010101
312111102222012222210
41332331103211111
513330240001323
6551205144033
7103532463105
oct17675234525
95442865883
102130000213
119a3369760
124b53bb019
1327c392c73
14162c59205
15c6ee1293
hex7ef53955

2130000213 has 16 divisors (see below), whose sum is σ = 3141821952. Its totient is φ = 1272726000.

The previous prime is 2130000203. The next prime is 2130000221. The reversal of 2130000213 is 3120000312.

It is a happy number.

It is not a de Polignac number, because 2130000213 - 25 = 2130000181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130000203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452203 + ... + 456888.

It is an arithmetic number, because the mean of its divisors is an integer number (196363872).

Almost surely, 22130000213 is an apocalyptic number.

It is an amenable number.

2130000213 is a deficient number, since it is larger than the sum of its proper divisors (1011821739).

2130000213 is a wasteful number, since it uses less digits than its factorization.

2130000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909176.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130000213 is about 46151.9253444534. The cubic root of 2130000213 is about 1286.6483941120.

Adding to 2130000213 its reverse (3120000312), we get a palindrome (5250000525).

Subtracting 2130000213 from its reverse (3120000312), we obtain a palindrome (990000099).

It can be divided in two parts, 2130000 and 213, that multiplied together give a square (453690000 = 213002).

The spelling of 2130000213 in words is "two billion, one hundred thirty million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 11 33 71 213 781 2343 909091 2727273 10000001 30000003 64545461 193636383 710000071 2130000213