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11200020002100 = 22325237336336937
BaseRepresentation
bin1010001011111011010100…
…1101101011010100110100
31110122201012122120120112100
42202332311031223110310
52432000120110031400
635453115042222100
72234113636145436
oct242766515532464
943581178516470
1011200020002100
1136289a1341a76
12130a780054930
13633207927597
142aa126182656
15146511780100
hexa2fb536b534

11200020002100 has 108 divisors (see below), whose sum is σ = 36054647079724. Its totient is φ = 2905951127040.

The previous prime is 11200020002077. The next prime is 11200020002111. The reversal of 11200020002100 is 120002000211.

It can be written as a sum of positive squares in 6 ways, for example, as 690052521636 + 10509967480464 = 830694^2 + 3241908^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168135169 + ... + 168201768.

Almost surely, 211200020002100 is an apocalyptic number.

11200020002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200020002100 is an abundant number, since it is smaller than the sum of its proper divisors (24854627077624).

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

11200020002100 is a wasteful number, since it uses less digits than its factorization.

11200020002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336336994 (or 336336984 counting only the distinct ones).

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

Adding to 11200020002100 its reverse (120002000211), we get a palindrome (11320022002311).

The spelling of 11200020002100 in words is "eleven trillion, two hundred billion, twenty million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 336336937 672673874 1009010811 1345347748 1681684685 2018021622 3027032433 3363369370 4036043244 5045054055 6054064866 6726738740 8408423425 10090108110 12108129732 12444466669 15135162165 16816846850 20180216220 24888933338 25225270275 30270324330 33633693700 37333400007 49777866676 50450540550 60540648660 62222333345 74666800014 75675810825 100901081100 112000200021 124444666690 149333600028 151351621650 186667000035 224000400042 248889333380 302703243300 311111666725 373334000070 448000800084 560001000105 622223333450 746668000140 933335000175 1120002000210 1244446666900 1866670000350 2240004000420 2800005000525 3733340000700 5600010001050 11200020002100