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11211200210100 = 223521117199843141
BaseRepresentation
bin1010001100100100111110…
…0110110010010010110100
31110200210001211002222200010
42203021033212302102310
52432141014223210400
635502204305020220
72234660664304152
oct243111746622264
943623054088603
1011211200210100
1136327092747a0
121310980324670
13634299c99687
142aa8a6d623d2
15146968069450
hexa324f9b24b4

11211200210100 has 144 divisors (see below), whose sum is σ = 37468191007296. Its totient is φ = 2557992192000.

The previous prime is 11211200210053. The next prime is 11211200210149. The reversal of 11211200210100 is 101200211211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99865471 + ... + 99977670.

It is an arithmetic number, because the mean of its divisors is an integer number (260195770884).

Almost surely, 211211200210100 is an apocalyptic number.

11211200210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211200210100 is an abundant number, since it is smaller than the sum of its proper divisors (26256990797196).

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

11211200210100 is a wasteful number, since it uses less digits than its factorization.

11211200210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199843186 (or 199843179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211200210100 its reverse (101200211211), we get a palindrome (11312400421311).

The spelling of 11211200210100 in words is "eleven trillion, two hundred eleven billion, two hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 199843141 399686282 599529423 799372564 999215705 1199058846 1998431410 2198274551 2398117692 2997647115 3397333397 3996862820 4396549102 4996078525 5995294230 6594823653 6794666794 8793098204 9992157050 10192000191 10991372755 11990588460 13189647306 13589333588 14988235575 16986666985 19984314100 20384000382 21982745510 26379294612 29976471150 32974118265 33973333970 37370667367 40768000764 43965491020 50960000955 54956863775 59952942300 65948236530 67946667940 74741334734 84933334925 101920001910 109913727550 112112002101 131896473060 149482669468 164870591325 169866669850 186853336835 203840003820 219827455100 224224004202 254800004775 329741182650 339733339700 373706673670 448448008404 509600009550 560560010505 659482365300 747413347340 934266684175 1019200019100 1121120021010 1868533368350 2242240042020 2802800052525 3737066736700 5605600105050 11211200210100