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11212100002000 = 2453291371411037
BaseRepresentation
bin1010001100101000010100…
…1111001110000011010000
31110200212101112020011010001
42203022011033032003100
52432144340100031000
635502433450415344
72235022201355152
oct243120517160320
943625345204101
1011212100002000
113633030174767
121310b91731554
136343b151c411
142aa950666ad2
151469bc05446a
hexa32853ce0d0

11212100002000 has 160 divisors (see below), whose sum is σ = 28250448239520. Its totient is φ = 4298580070400.

The previous prime is 11212100001997. The next prime is 11212100002001. The reversal of 11212100002000 is 20000121211.

It can be written as a sum of positive squares in 16 ways, for example, as 4679659215504 + 6532440786496 = 2163252^2 + 2555864^2 .

It is a super-2 number, since 2×112121000020002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212100002001) 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, 7240482 + ... + 8651518.

It is an arithmetic number, because the mean of its divisors is an integer number (176565301497).

Almost surely, 211212100002000 is an apocalyptic number.

11212100002000 is a gapful number since it is divisible by the number (10) 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 11212100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125224119760).

11212100002000 is an abundant number, since it is smaller than the sum of its proper divisors (17038348237520).

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

11212100002000 is a wasteful number, since it uses less digits than its factorization.

11212100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411226 (or 1411210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11212100002000 its reverse (20000121211), we get a palindrome (11232100123211).

The spelling of 11212100002000 in words is "eleven trillion, two hundred twelve billion, one hundred million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 137 145 200 232 250 274 290 400 464 500 548 580 685 725 1000 1096 1160 1370 1450 2000 2192 2320 2740 2900 3425 3625 3973 5480 5800 6850 7250 7946 10960 11600 13700 14500 15892 17125 19865 27400 29000 31784 34250 39730 54800 58000 63568 68500 79460 99325 137000 158920 198650 274000 317840 397300 496625 794600 993250 1411037 1589200 1986500 2822074 3973000 5644148 7055185 7946000 11288296 14110370 22576592 28220740 35275925 40920073 56441480 70551850 81840146 112882960 141103700 163680292 176379625 193312069 204600365 282207400 327360584 352759250 386624138 409200730 564414800 654721168 705518500 773248276 818401460 966560345 1023001825 1411037000 1546496552 1636802920 1933120690 2046003650 2822074000 3092993104 3273605840 3866241380 4092007300 4832801725 5115009125 5606050001 7732482760 8184014600 9665603450 10230018250 11212100002 15464965520 16368029200 19331206900 20460036500 22424200004 24164008625 28030250005 38662413800 40920073000 44848400008 48328017250 56060500010 77324827600 81840146000 89696800016 96656034500 112121000020 140151250025 193312069000 224242000040 280302500050 386624138000 448484000080 560605000100 700756250125 1121210000200 1401512500250 2242420000400 2803025000500 5606050001000 11212100002000