Search a number
-
+
212111232021 = 32132843363761
BaseRepresentation
bin1100010110001011010…
…0001000110000010101
3202021111101201000111100
43011202310020300111
511433400433411041
6241235331500313
721216212503233
oct3054264106025
9667441630440
10212111232021
1181a57296067
1235137757699
131700452aa60
14a3a27b5953
1557b68676b6
hex3162d08c15

212111232021 has 24 divisors (see below), whose sum is σ = 329967584856. Its totient is φ = 130523351040.

The previous prime is 212111232019. The next prime is 212111232043. The reversal of 212111232021 is 120232111212.

212111232021 is a `hidden beast` number, since 212 + 1 + 112 + 320 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15608754225 + 196502477796 = 124935^2 + 443286^2 .

It is not a de Polignac number, because 212111232021 - 21 = 212111232019 is a prime.

It is a super-3 number, since 3×2121112320213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111231985 and 212111232003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111232071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3294781 + ... + 3358541.

It is an arithmetic number, because the mean of its divisors is an integer number (13748649369).

Almost surely, 2212111232021 is an apocalyptic number.

It is an amenable number.

212111232021 is a deficient number, since it is larger than the sum of its proper divisors (117856352835).

212111232021 is a wasteful number, since it uses less digits than its factorization.

212111232021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92213 (or 92210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212111232021 its reverse (120232111212), we get a palindrome (332343343233).

The spelling of 212111232021 in words is "two hundred twelve billion, one hundred eleven million, two hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 13 39 117 28433 63761 85299 191283 255897 369629 573849 828893 1108887 2486679 3326661 7460037 1812916513 5438749539 16316248617 23567914669 70703744007 212111232021