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213112312133 = 75913136710733
BaseRepresentation
bin1100011001111001111…
…0111101000101000101
3202101002011102011020112
43012132132331011011
511442423222442013
6241522532242405
721253056523160
oct3063636750505
9671064364215
10213112312133
11824203873a6
1235376a70405
1317133a55756
14a459724ad7
1558246adba8
hex319e7bd145

213112312133 has 32 divisors (see below), whose sum is σ = 250279096320. Its totient is φ = 177698738880.

The previous prime is 213112312081. The next prime is 213112312141. The reversal of 213112312133 is 331213211312.

It is a cyclic number.

It is not a de Polignac number, because 213112312133 - 228 = 212843876677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213112312099 and 213112312108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112312433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19850435 + ... + 19861167.

It is an arithmetic number, because the mean of its divisors is an integer number (7821221760).

Almost surely, 2213112312133 is an apocalyptic number.

It is an amenable number.

213112312133 is a deficient number, since it is larger than the sum of its proper divisors (37166784187).

213112312133 is a wasteful number, since it uses less digits than its factorization.

213112312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297.

The product of its digits is 648, while the sum is 23.

Adding to 213112312133 its reverse (331213211312), we get a palindrome (544325523445).

The spelling of 213112312133 in words is "two hundred thirteen billion, one hundred twelve million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 7 59 131 367 413 917 2569 7729 10733 21653 48077 54103 75131 151571 336539 633247 1406023 2836543 3939011 4432729 9842161 19855801 27573077 82955357 232401649 516010441 580687499 1626811543 3612073087 30444616019 213112312133