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10200211212 = 223232392647
BaseRepresentation
bin10010111111111101…
…01101111100001100
3222022212111102021110
421133332231330030
5131342223224322
64404053532020
7510525236052
oct113776557414
928285442243
1010200211212
114364831724
121b88044010
13c67319949
146ca99c1d2
153ea759c0c
hex25ffadf0c

10200211212 has 72 divisors (see below), whose sum is σ = 24978191616. Its totient is φ = 3233627936.

The previous prime is 10200211207. The next prime is 10200211243. The reversal of 10200211212 is 21211200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15765073 + ... + 15765719.

It is an arithmetic number, because the mean of its divisors is an integer number (346919328).

Almost surely, 210200211212 is an apocalyptic number.

10200211212 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 10200211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12489095808).

10200211212 is an abundant number, since it is smaller than the sum of its proper divisors (14777980404).

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

10200211212 is a wasteful number, since it uses less digits than its factorization.

10200211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200211212 its reverse (21211200201), we get a palindrome (31411411413).

The spelling of 10200211212 in words is "ten billion, two hundred million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 239 276 478 647 717 956 1294 1434 1941 2588 2868 3882 5497 7764 10994 14881 16491 21988 29762 32982 44643 57121 59524 65964 89286 114242 154633 171363 178572 228484 309266 342726 463899 618532 685452 927798 1313783 1855596 2627566 3556559 3941349 5255132 7113118 7882698 10669677 14226236 15765396 21339354 36957287 42678708 73914574 110871861 147829148 221743722 443487444 850017601 1700035202 2550052803 3400070404 5100105606 10200211212