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11020200320100 = 2235273360438293
BaseRepresentation
bin1010000001011101011100…
…1000000001110001100100
31110000112001201010021002010
42200113113020001301210
52421023332240220400
635234335442314220
72215116560106666
oct240272710016144
943015051107063
1011020200320100
11356970586a434
12129b956958970
1361c27b46889a
142a15482c4536
151419d9ce4450
hexa05d7201c64

11020200320100 has 144 divisors (see below), whose sum is σ = 31937746672832. Its totient is φ = 2933871459840.

The previous prime is 11020200320069. The next prime is 11020200320137. The reversal of 11020200320100 is 102300202011.

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

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 47 ways as a sum of consecutive naturals, for example, 1328851554 + ... + 1328859846.

Almost surely, 211020200320100 is an apocalyptic number.

11020200320100 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 11020200320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968873336416).

11020200320100 is an abundant number, since it is smaller than the sum of its proper divisors (20917546352732).

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

11020200320100 is a wasteful number, since it uses less digits than its factorization.

11020200320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086 (or 15079 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11020200320100 its reverse (102300202011), we get a palindrome (11122500522111).

The spelling of 11020200320100 in words is "eleven trillion, twenty billion, two hundred million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 733 1466 2199 2932 3665 4398 6043 7330 8293 8796 10995 12086 14660 16586 18129 18325 21990 24172 24879 30215 33172 36258 36650 41465 43980 49758 54975 60430 72516 73300 82930 90645 99516 109950 120860 124395 151075 165860 181290 207325 219900 248790 302150 362580 414650 453225 497580 604300 621975 829300 906450 1243950 1812900 2487900 4429519 6078769 8859038 12157538 13288557 17718076 18236307 22147595 24315076 26577114 30393845 36472614 44295190 50114599 53154228 60787690 66442785 72945228 88590380 91181535 100229198 110737975 121575380 132885570 150343797 151969225 182363070 200458396 221475950 250572995 265771140 300687594 303938450 332213925 364726140 442951900 455907675 501145990 601375188 607876900 664427850 751718985 911815350 1002291980 1252864975 1328855700 1503437970 1823630700 2505729950 3006875940 3758594925 5011459900 7517189850 15034379700 36734001067 73468002134 110202003201 146936004268 183670005335 220404006402 367340010670 440808012804 551010016005 734680021340 918350026675 1102020032010 1836700053350 2204040064020 2755050080025 3673400106700 5510100160050 11020200320100