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11000212202100 = 223521110133003937
BaseRepresentation
bin1010000000010010111110…
…1111011010001001110100
31102221121110200221122212110
42200010233233122021310
52420211413310431400
635221232215451020
72213511340651332
oct240045757321164
942847420848773
1011000212202100
113561189016550
121297ab8986a70
1361a414391324
142a05ad812b52
1514121a123e50
hexa012fbda274

11000212202100 has 144 divisors (see below), whose sum is σ = 35064439857216. Its totient is φ = 2640314880000.

The previous prime is 11000212202071. The next prime is 11000212202101. The reversal of 11000212202100 is 120221200011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000212202101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16168669 + ... + 16835268.

It is an arithmetic number, because the mean of its divisors is an integer number (243503054564).

Almost surely, 211000212202100 is an apocalyptic number.

11000212202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000212202100 is an abundant number, since it is smaller than the sum of its proper divisors (24064227655116).

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

11000212202100 is a wasteful number, since it uses less digits than its factorization.

11000212202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33004066 (or 33004059 counting only the distinct ones).

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

Adding to 11000212202100 its reverse (120221200011), we get a palindrome (11120433402111).

The spelling of 11000212202100 in words is "eleven trillion, two hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 33003937 66007874 99011811 132015748 165019685 198023622 330039370 363043307 396047244 495059055 660078740 726086614 825098425 990118110 1089129921 1452173228 1650196850 1815216535 1980236220 2178259842 2475295275 3300393700 3333397637 3630433070 4356519684 4950590550 5445649605 6666795274 7260866140 9076082675 9901181100 10000192911 10891299210 13333590548 16666988185 18152165350 20000385822 21782598420 27228248025 33333976370 36304330700 36667374007 40000771644 50000964555 54456496050 66667952740 73334748014 83334940925 100001929110 108912992100 110002122021 146669496028 166669881850 183336870035 200003858220 220004244042 250004822775 333339763700 366673740070 440008488084 500009645550 550010610105 733347480140 916684350175 1000019291100 1100021220210 1833368700350 2200042440420 2750053050525 3666737400700 5500106101050 11000212202100