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212110112001 = 3263577465917
BaseRepresentation
bin1100010110001010111…
…1110111010100000001
3202021111022121010010010
43011202233313110001
511433400142041001
6241235251455133
721216200126664
oct3054257672401
9667438533103
10212110112001
1181a566a0627
12351372b74a9
1317004228018
14a3a25a36db
1557b66e58d6
hex3162bf7501

212110112001 has 16 divisors (see below), whose sum is σ = 284381437824. Its totient is φ = 140624630784.

The previous prime is 212110111999. The next prime is 212110112023. The reversal of 212110112001 is 100211011212.

212110112001 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 212110112001 - 21 = 212110111999 is a prime.

It is a super-2 number, since 2×2121101120012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212110112801) 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 15 ways as a sum of consecutive naturals, for example, 222295 + ... + 688211.

It is an arithmetic number, because the mean of its divisors is an integer number (17773839864).

Almost surely, 2212110112001 is an apocalyptic number.

It is an amenable number.

212110112001 is a deficient number, since it is larger than the sum of its proper divisors (72271325823).

212110112001 is a wasteful number, since it uses less digits than its factorization.

212110112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466760.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212110112001 its reverse (100211011212), we get a palindrome (312321123213).

The spelling of 212110112001 in words is "two hundred twelve billion, one hundred ten million, one hundred twelve thousand, one".

Divisors: 1 3 263 577 789 1731 151751 455253 465917 1397751 122536171 268834109 367608513 806502327 70703370667 212110112001