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212541021 = 327111718041
BaseRepresentation
bin11001010101100…
…01111001011101
3112210221012110200
430222301321131
5413402303041
633031254113
75160366060
oct1452617135
9483835420
10212541021
11a9a79240
125b21a339
1335058624
14203288d7
15139d51b6
hexcab1e5d

212541021 has 48 divisors (see below), whose sum is σ = 405295488. Its totient is φ = 103910400.

The previous prime is 212541013. The next prime is 212541023. The reversal of 212541021 is 120145212.

It is not a de Polignac number, because 212541021 - 23 = 212541013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212540985 and 212541003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212541023) 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, 2761 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (8443656).

Almost surely, 2212541021 is an apocalyptic number.

212541021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212541021 is a deficient number, since it is larger than the sum of its proper divisors (192754467).

212541021 is a wasteful number, since it uses less digits than its factorization.

212541021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18082 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212541021 is about 14578.7866779098. The cubic root of 212541021 is about 596.7799918257.

Adding to 212541021 its reverse (120145212), we get a palindrome (332686233).

The spelling of 212541021 in words is "two hundred twelve million, five hundred forty-one thousand, twenty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 18041 54123 126287 162369 198451 306697 378861 595353 920091 1136583 1389157 1786059 2146879 2760273 3373667 4167471 6440637 10121001 12502413 19321911 23615669 30363003 70847007 212541021