Search a number
-
+
2131230213 = 327295212239
BaseRepresentation
bin111111100000111…
…1111111000000101
312111112021201020100
41333001333320011
513331043331323
6551251354313
7103546105110
oct17701777005
95445251210
102131230213
119a4029892
124b58b2999
1327c703a88
14163099577
15c7185943
hex7f07fe05

2131230213 has 48 divisors (see below), whose sum is σ = 3648153600. Its totient is φ = 1173070080.

The previous prime is 2131230197. The next prime is 2131230221. The reversal of 2131230213 is 3120321312.

It is not a de Polignac number, because 2131230213 - 24 = 2131230197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131230613) 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 47 ways as a sum of consecutive naturals, for example, 950748 + ... + 952986.

It is an arithmetic number, because the mean of its divisors is an integer number (76003200).

Almost surely, 22131230213 is an apocalyptic number.

It is an amenable number.

2131230213 is a deficient number, since it is larger than the sum of its proper divisors (1516923387).

2131230213 is a wasteful number, since it uses less digits than its factorization.

2131230213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131230213 is about 46165.2489758260. The cubic root of 2131230213 is about 1286.8960111444.

Adding to 2131230213 its reverse (3120321312), we get a palindrome (5251551525).

The spelling of 2131230213 in words is "two billion, one hundred thirty-one million, two hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 29 63 87 203 261 521 609 1563 1827 2239 3647 4689 6717 10941 15109 15673 20151 32823 45327 47019 64931 105763 135981 141057 194793 317289 454517 584379 951867 1166519 1363551 3499557 4090653 8165633 10498671 24496899 33829051 73490697 101487153 236803357 304461459 710410071 2131230213