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20112200020020 = 22357936971147709
BaseRepresentation
bin1001001001010101111001…
…00010011011000000110100
32122012201002210121002010210
410210222330202123000310
510114004241201120040
6110435230033545420
74144026031323603
oct444527442330064
978181083532123
1020112200020020
116454599650809
122309a67115270
13b2b75951b424
144d76156c5a3a
1524d2701a1480
hex124abc89b034

20112200020020 has 96 divisors (see below), whose sum is σ = 57042472435200. Its totient is φ = 5293927102464.

The previous prime is 20112200020019. The next prime is 20112200020027. The reversal of 20112200020020 is 2002000221102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20112200019978 and 20112200020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112200020027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16949926 + ... + 18097634.

It is an arithmetic number, because the mean of its divisors is an integer number (594192421200).

Almost surely, 220112200020020 is an apocalyptic number.

20112200020020 is a gapful number since it is divisible by the number (20) 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 20112200020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28521236217600).

20112200020020 is an abundant number, since it is smaller than the sum of its proper divisors (36930272415180).

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

20112200020020 is a wasteful number, since it uses less digits than its factorization.

20112200020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151497 (or 1151495 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20112200020020 its reverse (2002000221102), we get a palindrome (22114200241122).

The spelling of 20112200020020 in words is "twenty trillion, one hundred twelve billion, two hundred million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 3697 4740 7394 11091 14788 18485 22182 36970 44364 55455 73940 110910 221820 292063 584126 876189 1147709 1168252 1460315 1752378 2295418 2920630 3443127 3504756 4380945 4590836 5738545 5841260 6886254 8761890 11477090 13772508 17215635 17523780 22954180 34431270 68862540 90669011 181338022 272007033 362676044 453345055 544014066 906690110 1088028132 1360035165 1813380220 2720070330 4243080173 5440140660 8486160346 12729240519 16972320692 21215400865 25458481038 42430801730 50916962076 63646202595 84861603460 127292405190 254584810380 335203333667 670406667334 1005610001001 1340813334668 1676016668335 2011220002002 3352033336670 4022440004004 5028050005005 6704066673340 10056100010010 20112200020020