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11202012 = 22322383163
BaseRepresentation
bin101010101110…
…110111011100
3210002010021100
4222232313130
510331431022
61040033100
7164133633
oct52566734
923063240
1011202012
116361268
123902790
132422a13
1416b851a
15eb41ac
hexaaeddc

11202012 has 72 divisors (see below), whose sum is σ = 30086784. Its totient is φ = 3506976.

The previous prime is 11201987. The next prime is 11202017. The reversal of 11202012 is 21020211.

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 = 11201985 and 11202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202017) 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, 68643 + ... + 68805.

It is an arithmetic number, because the mean of its divisors is an integer number (417872).

Almost surely, 211202012 is an apocalyptic number.

11202012 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 11202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043392).

11202012 is an abundant number, since it is smaller than the sum of its proper divisors (18884772).

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

11202012 is a wasteful number, since it uses less digits than its factorization.

11202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11202012 is about 3346.9406926326. The cubic root of 11202012 is about 223.7511852460.

Adding to 11202012 its reverse (21020211), we get a palindrome (32222223).

The spelling of 11202012 in words is "eleven million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 163 166 207 249 276 326 332 414 489 498 652 747 828 978 996 1467 1494 1909 1956 2934 2988 3749 3818 5727 5868 7498 7636 11247 11454 13529 14996 17181 22494 22908 27058 33741 34362 40587 44988 54116 67482 68724 81174 121761 134964 162348 243522 311167 487044 622334 933501 1244668 1867002 2800503 3734004 5601006 11202012