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212301321330021 = 37111762099870577
BaseRepresentation
bin110000010001011001000000…
…110101111101110101100101
31000211200210211002221201010220
4300101121000311331311211
5210311321101230030041
62031305514113234553
762501156440351620
oct6021310065756545
91024623732851126
10212301321330021
1161711537230230
121b989502b62a59
13915cc0c472c41
143a5d620018db7
1519826a0673d66
hexc11640d7dd65

212301321330021 has 64 divisors (see below), whose sum is σ = 373682721945600. Its totient is φ = 103797174620160.

The previous prime is 212301321330011. The next prime is 212301321330041. The reversal of 212301321330021 is 120033123103212.

It is not a de Polignac number, because 212301321330021 - 229 = 212300784459109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212301321329973 and 212301321330000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301321330011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243427485 + ... + 244298061.

It is an arithmetic number, because the mean of its divisors is an integer number (5838792530400).

Almost surely, 2212301321330021 is an apocalyptic number.

212301321330021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212301321330021 is a deficient number, since it is larger than the sum of its proper divisors (161381400615579).

212301321330021 is a wasteful number, since it uses less digits than its factorization.

212301321330021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932714.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212301321330021 its reverse (120033123103212), we get a palindrome (332334444433233).

The spelling of 212301321330021 in words is "two hundred twelve trillion, three hundred one billion, three hundred twenty-one million, three hundred thirty thousand, twenty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1309 3927 62099 186297 434693 683089 870577 1055683 1304079 2049267 2611731 3167049 4781623 6094039 7389781 9576347 11612513 14344869 14799809 18282117 22169343 28729041 34837539 44399427 67034429 81287591 103598663 162797899 201103287 243862773 310795989 488393697 1139585293 3418755879 54061961123 162185883369 378433727861 594681572353 919053339091 1135301183583 1784044717059 2757160017273 4162771006471 6433373373637 10109586730001 12488313019413 19300120120911 30328760190003 70767107110007 212301321330021