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10711212 = 22319109431
BaseRepresentation
bin101000110111…
…000010101100
3202011012000120
4220313002230
510220224322
61021324540
7160021011
oct50670254
922135016
1010711212
116056546
123706750
1322b04c5
1415cb708
15e18a5c
hexa370ac

10711212 has 48 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3343680.

The previous prime is 10711199. The next prime is 10711229. The reversal of 10711212 is 21211701.

It is a super-2 number, since 2×107112122 = 229460125017888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10711191 and 10711200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24637 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 210711212 is an apocalyptic number.

10711212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10711212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

10711212 is an abundant number, since it is smaller than the sum of its proper divisors (15899988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10711212 is a wasteful number, since it uses less digits than its factorization.

10711212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 10711212 is about 3272.7988022486. The cubic root of 10711212 is about 220.4344857067.

Adding to 10711212 its reverse (21211701), we get a palindrome (31922913).

The spelling of 10711212 in words is "ten million, seven hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 431 436 654 862 1293 1308 1724 2071 2586 4142 5172 6213 8189 8284 12426 16378 24567 24852 32756 46979 49134 93958 98268 140937 187916 281874 563748 892601 1785202 2677803 3570404 5355606 10711212