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11020000200012 = 22331032617137853
BaseRepresentation
bin1010000001011100101100…
…1100101000010101001100
31110000111112202120002221000
42200113023030220111030
52421022430022400022
635234303533140300
72215111610112336
oct240271314502514
943014482502830
1011020000200012
113569612905231
12129b8bb92a690
1361c248b6ba2b
142a15298b0456
151419c74646ac
hexa05cb32854c

11020000200012 has 96 divisors (see below), whose sum is σ = 28849617538560. Its totient is φ = 3637434876480.

The previous prime is 11020000199987. The next prime is 11020000200023. The reversal of 11020000200012 is 21000200002011.

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 = 11020000199967 and 11020000200003.

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, 291107278 + ... + 291145130.

It is an arithmetic number, because the mean of its divisors is an integer number (300516849360).

Almost surely, 211020000200012 is an apocalyptic number.

11020000200012 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 11020000200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424808769280).

11020000200012 is an abundant number, since it is smaller than the sum of its proper divisors (17829617338548).

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

11020000200012 is a wasteful number, since it uses less digits than its factorization.

11020000200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64140 (or 64132 counting only the distinct ones).

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

Adding to 11020000200012 its reverse (21000200002011), we get a palindrome (32020200202023).

The spelling of 11020000200012 in words is "eleven trillion, twenty billion, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 26171 37853 52342 75706 78513 104684 113559 151412 157026 227118 235539 314052 340677 454236 471078 681354 706617 942156 1022031 1362708 1413234 2044062 2695613 2826468 3898859 4088124 5391226 7797718 8086839 10782452 11696577 15595436 16173678 23393154 24260517 32347356 35089731 46786308 48521034 70179462 72781551 97042068 105269193 140358924 145563102 210538386 291126204 421076772 990650863 1981301726 2971952589 3962603452 5943905178 8915857767 11887810356 17831715534 26747573301 35663431068 53495146602 102037038889 106990293204 204074077778 306111116667 408148155556 612222233334 918333350001 1224444466668 1836666700002 2755000050003 3673333400004 5510000100006 11020000200012