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10050012 = 22327192099
BaseRepresentation
bin100110010101…
…100111011100
3200220121000200
4212111213130
510033100022
6555223500
7151265220
oct46254734
920817020
1010050012
1157447a5
123447b90
13210b56b
141498780
15d37bac
hex9959dc

10050012 has 72 divisors (see below), whose sum is σ = 30576000. Its totient is φ = 2719008.

The previous prime is 10049999. The next prime is 10050013. The reversal of 10050012 is 21005001.

It is a happy number.

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 = 10049976 and 10050003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3739 + ... + 5837.

Almost surely, 210050012 is an apocalyptic number.

10050012 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 10050012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288000).

10050012 is an abundant number, since it is smaller than the sum of its proper divisors (20525988).

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

10050012 is a wasteful number, since it uses less digits than its factorization.

10050012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10050012 is about 3170.1753894698. The cubic root of 10050012 is about 215.8020305456.

Adding to 10050012 its reverse (21005001), we get a palindrome (31055013).

The spelling of 10050012 in words is "ten million, fifty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2099 2394 4198 4788 6297 8396 12594 14693 18891 25188 29386 37782 39881 44079 58772 75564 79762 88158 119643 132237 159524 176316 239286 264474 279167 358929 478572 528948 558334 717858 837501 1116668 1435716 1675002 2512503 3350004 5025006 10050012