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20011012 = 2272232193
BaseRepresentation
bin100110001010…
…1100000000100
31101122122221121
41030111200010
520110323022
61552523324
7332043100
oct114254004
941578847
1020011012
111032862a
126850544
1341b8448
14292c900
151b542c7
hex1315804

20011012 has 54 divisors (see below), whose sum is σ = 42805518. Its totient is φ = 8160768.

The previous prime is 20011007. The next prime is 20011031. The reversal of 20011012 is 21011002.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 5080516 = 3864^2 + 2254^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 20010986 and 20011004.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103588 + ... + 103780.

Almost surely, 220011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21402759).

20011012 is an abundant number, since it is smaller than the sum of its proper divisors (22794506).

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

20011012 is a wasteful number, since it uses less digits than its factorization.

20011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 20011012 is about 4473.3669646028. The cubic root of 20011012 is about 271.4915711302.

Adding to 20011012 its reverse (21011002), we get a palindrome (41022014).

The spelling of 20011012 in words is "twenty million, eleven thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 193 196 322 386 529 644 772 1058 1127 1351 2116 2254 2702 3703 4439 4508 5404 7406 8878 9457 14812 17756 18914 25921 31073 37828 51842 62146 102097 103684 124292 204194 217511 408388 435022 714679 870044 1429358 2858716 5002753 10005506 20011012