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212110000011 = 327133779251353
BaseRepresentation
bin1100010110001010111…
…1011011111110001011
3202021111022101102111100
43011202233123332023
511433400130000021
6241235245232443
721216166152330
oct3054257337613
9667438342440
10212110000011
1181a56624478
1235137262723
13170041b9060
14a3a2574987
1557b66c2626
hex3162bdbf8b

212110000011 has 192 divisors, whose sum is σ = 394856017920. Its totient is φ = 106748928000.

The previous prime is 212109999979. The next prime is 212110000021. The reversal of 212110000011 is 110000011212.

It is a happy number.

It is not a de Polignac number, because 212110000011 - 25 = 212109999979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212109999948 and 212110000002.

It is not an unprimeable number, because it can be changed into a prime (212110000021) 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 191 ways as a sum of consecutive naturals, for example, 600878011 + ... + 600878363.

It is an arithmetic number, because the mean of its divisors is an integer number (2056541760).

Almost surely, 2212110000011 is an apocalyptic number.

212110000011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212110000011 is a deficient number, since it is larger than the sum of its proper divisors (182746017909).

212110000011 is a wasteful number, since it uses less digits than its factorization.

212110000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212110000011 its reverse (110000011212), we get a palindrome (322110011223).

It can be divided in two parts, 212 and 110000011, that multiplied together give a palindrome (23320002332).

The spelling of 212110000011 in words is "two hundred twelve billion, one hundred ten million, eleven", and thus it is an aban number.