Search a number
-
+
10210010220012 = 22319180148015179
BaseRepresentation
bin1001010010010011010000…
…0010000100010111101100
31100011001211011111210200010
42110210310002010113230
52314240100104020022
633414225224533220
72102435366640231
oct224446402042754
940131734453603
1010210010220012
11328704a65a719
12118a927921210
13590a523028b5
1427424a873788
1512a8bc0e350c
hex949340845ec

10210010220012 has 96 divisors (see below), whose sum is σ = 25101214163200. Its totient is φ = 3221130240000.

The previous prime is 10210010219989. The next prime is 10210010220023. The reversal of 10210010220012 is 21002201001201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10210010220012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971422439 + ... + 1971427617.

Almost surely, 210210010220012 is an apocalyptic number.

10210010220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10210010220012 is an abundant number, since it is smaller than the sum of its proper divisors (14891203943188).

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

10210010220012 is a wasteful number, since it uses less digits than its factorization.

10210010220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807 (or 11805 counting only the distinct ones).

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

Adding to 10210010220012 its reverse (21002201001201), we get a palindrome (31212211221213).

The spelling of 10210010220012 in words is "ten trillion, two hundred ten billion, ten million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 1801 3602 4801 5179 5403 7204 9602 10358 10806 14403 15537 19204 20716 21612 28806 31074 34219 57612 62148 68438 91219 98401 102657 136876 182438 196802 205314 273657 295203 364876 393604 410628 547314 590406 1094628 1180812 8646601 9327379 17293202 18654758 24864379 25939803 27982137 34586404 37309516 49728758 51879606 55964274 74593137 99457516 103759212 111928548 149186274 164285419 177220201 298372548 328570838 354440402 472423201 492856257 531660603 657141676 708880804 944846402 985712514 1063321206 1417269603 1889692804 1971425028 2126642412 2834539206 5669078412 44780746579 89561493158 134342239737 179122986316 268684479474 537368958948 850834185001 1701668370002 2552502555003 3403336740004 5105005110006 10210010220012