Search a number
-
+
212000111112111 = 3723164172577003
BaseRepresentation
bin110000001101000000011111…
…010100001010111110101111
31000210122000100020210020112020
4300031000133110022332233
5210241402211421041421
62030515301225041223
762440334245633200
oct6015003724127657
91023560306706466
10212000111112111
1161605818989343
121b93b060326213
13913a6a89b307a
143a4cc082875a7
151979921b0bdc6
hexc0d01f50afaf

212000111112111 has 48 divisors (see below), whose sum is σ = 339953009200128. Its totient is φ = 117052188825600.

The previous prime is 212000111112109. The next prime is 212000111112121. The reversal of 212000111112111 is 111211111000212.

212000111112111 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 212000111112111 - 21 = 212000111112109 is a prime.

It is a super-2 number, since 2×2120001111121112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000111112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33367465 + ... + 39209538.

It is an arithmetic number, because the mean of its divisors is an integer number (7082354358336).

Almost surely, 2212000111112111 is an apocalyptic number.

212000111112111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212000111112111 is a deficient number, since it is larger than the sum of its proper divisors (127952898088017).

212000111112111 is a wasteful number, since it uses less digits than its factorization.

212000111112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72577692 (or 72577685 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 212000111112111 its reverse (111211111000212), we get a palindrome (323211222112323).

The spelling of 212000111112111 in words is "two hundred twelve trillion, one hundred eleven million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 7 21 31 49 93 147 217 641 651 1519 1923 4487 4557 13461 19871 31409 59613 94227 139097 417291 973679 2921037 72577003 217731009 508039021 1524117063 2249887093 3556273147 6749661279 10668819441 15749209651 46521858923 47247628953 110244467557 139565576769 325653012461 330733402671 976959037383 1442177626613 2279571087227 4326532879839 6838713261681 10095243386291 30285730158873 70666703704037 212000111112111