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10221012 = 22331719293
BaseRepresentation
bin100110111111…
…010111010100
3201020021121000
4212333113110
510104033022
61003023300
7152606604
oct46772724
921207530
1010221012
11585121a
12350ab30
13216b349
141500c04
15d6d6ac
hex9bf5d4

10221012 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 3027456.

The previous prime is 10221007. The next prime is 10221037. The reversal of 10221012 is 21012201.

It is a super-3 number, since 3×102210123 (a number of 22 digits) contains 333 as substring.

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 = 10220985 and 10221003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34738 + ... + 35030.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 210221012 is an apocalyptic number.

10221012 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 10221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

10221012 is an abundant number, since it is smaller than the sum of its proper divisors (19414188).

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

10221012 is a wasteful number, since it uses less digits than its factorization.

10221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

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

The square root of 10221012 is about 3197.0317483566. The cubic root of 10221012 is about 217.0191039833.

Adding to 10221012 its reverse (21012201), we get a palindrome (31233213).

The spelling of 10221012 in words is "ten million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 293 306 323 342 459 513 586 612 646 684 879 918 969 1026 1172 1292 1758 1836 1938 2052 2637 2907 3516 3876 4981 5274 5567 5814 7911 8721 9962 10548 11134 11628 14943 15822 16701 17442 19924 22268 29886 31644 33402 34884 44829 50103 59772 66804 89658 94639 100206 134487 150309 179316 189278 200412 268974 283917 300618 378556 537948 567834 601236 851751 1135668 1703502 2555253 3407004 5110506 10221012