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1100120020200 = 2332521135408653
BaseRepresentation
bin10000000000100100010…
…000110101010011101000
310220011121020220102111100
4100000210100311103220
5121011021211121300
62201215502001400
7142323666611445
oct20004420652350
93804536812440
101100120020200
11394616086a43
12159263b76260
137c98290b446
143b3633ca9cc
151d93b2ac700
hex100244354e8

1100120020200 has 144 divisors (see below), whose sum is σ = 3727265731020. Its totient is φ = 290769131520.

The previous prime is 1100120020187. The next prime is 1100120020229. The reversal of 1100120020200 is 20200210011.

It can be written as a sum of positive squares in 6 ways, for example, as 114202091844 + 985917928356 = 337938^2 + 992934^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2500927 + ... + 2907726.

Almost surely, 21100120020200 is an apocalyptic number.

1100120020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100120020200 is an abundant number, since it is smaller than the sum of its proper divisors (2627145710820).

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

1100120020200 is a wasteful number, since it uses less digits than its factorization.

1100120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408788 (or 5408776 counting only the distinct ones).

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

Adding to 1100120020200 its reverse (20200210011), we get a palindrome (1120320230211).

The spelling of 1100120020200 in words is "one trillion, one hundred billion, one hundred twenty million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 113 120 150 180 200 225 226 300 339 360 450 452 565 600 678 900 904 1017 1130 1356 1695 1800 2034 2260 2712 2825 3390 4068 4520 5085 5650 6780 8136 8475 10170 11300 13560 16950 20340 22600 25425 33900 40680 50850 67800 101700 203400 5408653 10817306 16225959 21634612 27043265 32451918 43269224 48677877 54086530 64903836 81129795 97355754 108173060 129807672 135216325 162259590 194711508 216346120 243389385 270432650 324519180 389423016 405648975 486778770 540865300 611177789 649038360 811297950 973557540 1081730600 1216946925 1222355578 1622595900 1833533367 1947115080 2433893850 2444711156 3055888945 3245191800 3667066734 4867787700 4889422312 5500600101 6111777890 7334133468 9167666835 9735575400 11001200202 12223555780 14668266936 15279444725 18335333670 22002400404 24447111560 27503000505 30558889450 36670667340 44004800808 45838334175 55006001010 61117778900 73341334680 91676668350 110012002020 122235557800 137515002525 183353336700 220024004040 275030005050 366706673400 550060010100 1100120020200