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212021113101 = 3741271908671
BaseRepresentation
bin1100010101110101110…
…0010111000100001101
3202021021010010111120120
43011131130113010031
511433204401104401
6241222352135153
721214036503660
oct3053534270415
9667233114516
10212021113101
1181a10433416
12351115374b9
1316cbb966955
14a3948376d7
1557ad9b5836
hex315d71710d

212021113101 has 32 divisors (see below), whose sum is σ = 332181405696. Its totient is φ = 117763632000.

The previous prime is 212021113079. The next prime is 212021113163. The reversal of 212021113101 is 101311120212.

212021113101 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 212021113101 - 27 = 212021112973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021113301) 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, 221005 + ... + 687666.

It is an arithmetic number, because the mean of its divisors is an integer number (10380668928).

Almost surely, 2212021113101 is an apocalyptic number.

212021113101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212021113101 is a deficient number, since it is larger than the sum of its proper divisors (120160292595).

212021113101 is a wasteful number, since it uses less digits than its factorization.

212021113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908993.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212021113101 its reverse (101311120212), we get a palindrome (313332233313).

It can be divided in two parts, 2120211 and 13101, that added together give a palindrome (2133312).

The spelling of 212021113101 in words is "two hundred twelve billion, twenty-one million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 7 21 41 123 271 287 813 861 1897 5691 11111 33333 77777 233331 908671 2726013 6360697 19082091 37255511 111766533 246249841 260788577 738749523 782365731 1723748887 5171246661 10096243481 30288730443 70673704367 212021113101