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212034044431 = 111923421104773
BaseRepresentation
bin1100010101111000110…
…1101100001000001111
3202021022000110111000201
43011132031230020033
511433221203410211
6241223533234331
721214254432436
oct3053615541017
9667260414021
10212034044431
1181a17765970
12351159329a7
1316cc1543821
14a39644211d
1557aebbc0c1
hex315e36c20f

212034044431 has 32 divisors (see below), whose sum is σ = 254676257280. Its totient is φ = 174256790400.

The previous prime is 212034044389. The next prime is 212034044491. The reversal of 212034044431 is 134440430212.

212034044431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212034044431 - 29 = 212034043919 is a prime.

It is a super-2 number, since 2×2120340444312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212034044431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212034044491) 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, 1971361 + ... + 2076133.

It is an arithmetic number, because the mean of its divisors is an integer number (7958633040).

Almost surely, 2212034044431 is an apocalyptic number.

212034044431 is a deficient number, since it is larger than the sum of its proper divisors (42642212849).

212034044431 is a wasteful number, since it uses less digits than its factorization.

212034044431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105247.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 212034044431 its reverse (134440430212), we get a palindrome (346474474643).

The spelling of 212034044431 in words is "two hundred twelve billion, thirty-four million, forty-four thousand, four hundred thirty-one".

Divisors: 1 11 19 23 209 253 421 437 4631 4807 7999 9683 87989 104773 106513 183977 1152503 1990687 2023747 2409779 21897557 26507569 44109433 45785801 485203763 503643811 838079227 1014516959 9218871497 11159686549 19275822221 212034044431