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101212020012 = 223178934915973
BaseRepresentation
bin101111001000010110…
…1001101110100101100
3100200020122021100010210
41132100231031310230
53124240234120022
6114255100502420
710212061655355
oct1362055156454
9320218240123
10101212020012
1139a18601734
121774784aa10
13970c95204c
144c81ddcd2c
15297584ba0c
hex1790b4dd2c

101212020012 has 96 divisors (see below), whose sum is σ = 253603224000. Its totient is φ = 31304097792.

The previous prime is 101212019989. The next prime is 101212020043. The reversal of 101212020012 is 210020212101.

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 101212020012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6328458 + ... + 6344430.

It is an arithmetic number, because the mean of its divisors is an integer number (2641700250).

Almost surely, 2101212020012 is an apocalyptic number.

101212020012 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 101212020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126801612000).

101212020012 is an abundant number, since it is smaller than the sum of its proper divisors (152391203988).

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

101212020012 is a wasteful number, since it uses less digits than its factorization.

101212020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16435 (or 16433 counting only the distinct ones).

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

Adding to 101212020012 its reverse (210020212101), we get a palindrome (311232232113).

The spelling of 101212020012 in words is "one hundred one billion, two hundred twelve million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 349 356 534 698 1047 1068 1396 1513 2094 3026 4188 4539 5933 6052 9078 11866 15973 17799 18156 23732 31061 31946 35598 47919 62122 63892 71196 93183 95838 124244 186366 191676 271541 372732 528037 543082 814623 1056074 1086164 1421597 1584111 1629246 2112148 2843194 3168222 3258492 4264791 5574577 5686388 6336444 8529582 11149154 16723731 17059164 22298308 24167149 33447462 48334298 66894924 72501447 94767809 96668596 145002894 189535618 284303427 290005788 379071236 496137353 568606854 992274706 1137213708 1488412059 1984549412 2976824118 5953648236 8434335001 16868670002 25303005003 33737340004 50606010006 101212020012