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11020010001012 = 22334113991778921
BaseRepresentation
bin1010000001011100101111…
…0010000001001001110100
31110000111120110000001101000
42200113023302001021310
52421022440030013022
635234304523203300
72215112056322565
oct240271362011164
943014513001330
1011020010001012
113569618399931
12129b903076530
1361c24abc0b3c
142a152ad0216c
151419c824d6ac
hexa05cbc81274

11020010001012 has 96 divisors (see below), whose sum is σ = 29288171808000. Its totient is φ = 3581179430400.

The previous prime is 11020010001001. The next prime is 11020010001019. The reversal of 11020010001012 is 21010001002011.

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 = 11020010000985 and 11020010001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020010001019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5305312 + ... + 7084232.

It is an arithmetic number, because the mean of its divisors is an integer number (305085123000).

Almost surely, 211020010001012 is an apocalyptic number.

11020010001012 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 11020010001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644085904000).

11020010001012 is an abundant number, since it is smaller than the sum of its proper divisors (18268161806988).

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

11020010001012 is a wasteful number, since it uses less digits than its factorization.

11020010001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780374 (or 1780366 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11020010001012 its reverse (21010001002011), we get a palindrome (32030011003023).

The spelling of 11020010001012 in words is "eleven trillion, twenty billion, ten million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1399 1476 2214 2798 4197 4428 5596 8394 12591 16788 25182 37773 50364 57359 75546 114718 151092 172077 229436 344154 516231 688308 1032462 1548693 1778921 2064924 3097386 3557842 5336763 6194772 7115684 10673526 16010289 21347052 32020578 48030867 64041156 72935761 96061734 145871522 192123468 218807283 291743044 437614566 656421849 875229132 1312843698 1969265547 2488710479 2625687396 3938531094 4977420958 7466131437 7877062188 9954841916 14932262874 22398394311 29864525748 44796788622 67195182933 89593577244 102037129639 134390365866 204074259278 268780731732 306111388917 408148518556 612222777834 918334166751 1224445555668 1836668333502 2755002500253 3673336667004 5510005000506 11020010001012