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11320213131 = 335318474283
BaseRepresentation
bin10101000101011110…
…01011111010001011
31002012220222102002000
422202233023322023
5141140433310011
65111143242043
7550345136553
oct124257137213
932186872060
1011320213131
114889a68747
12223b149323
1310b5381886
14795626163
15463c42356
hex2a2bcbe8b

11320213131 has 32 divisors (see below), whose sum is σ = 17100357120. Its totient is φ = 7398679392.

The previous prime is 11320213127. The next prime is 11320213139. The reversal of 11320213131 is 13131202311.

11320213131 is a `hidden beast` number, since 1 + 1 + 320 + 213 + 131 = 666.

It is not a de Polignac number, because 11320213131 - 22 = 11320213127 is a prime.

It is a super-2 number, since 2×113202131312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11320213139) 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 31 ways as a sum of consecutive naturals, for example, 2640916 + ... + 2645198.

It is an arithmetic number, because the mean of its divisors is an integer number (534386160).

Almost surely, 211320213131 is an apocalyptic number.

11320213131 is a deficient number, since it is larger than the sum of its proper divisors (5780143989).

11320213131 is a wasteful number, since it uses less digits than its factorization.

11320213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192 (or 6186 counting only the distinct ones).

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

Adding to 11320213131 its reverse (13131202311), we get a palindrome (24451415442).

The spelling of 11320213131 in words is "eleven billion, three hundred twenty million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 53 159 477 1431 1847 4283 5541 12849 16623 38547 49869 97891 115641 226999 293673 680997 881019 2042991 2643057 6128973 7910701 23732103 71196309 213588927 419267153 1257801459 3773404377 11320213131