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21200102112120 = 2335374774797773
BaseRepresentation
bin1001101001000000010001…
…00011100011101101111000
32210001201011120022110010120
410310200020203203231320
510234320302120041440
6113031105323213240
74315441202454621
oct464401043435570
983051146273116
1021200102112120
116833a04a58508
12246487b377220
13baa212aa16c9
1453413a166a48
1526b6e39e1dd0
hex1348088e3b78

21200102112120 has 64 divisors (see below), whose sum is σ = 65319233548320. Its totient is φ = 5500567033344.

The previous prime is 21200102112097. The next prime is 21200102112131. The reversal of 21200102112120 is 2121120100212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21200102112120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2387394447 + ... + 2387403326.

Almost surely, 221200102112120 is an apocalyptic number.

21200102112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200102112120 is an abundant number, since it is smaller than the sum of its proper divisors (44119131436200).

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

21200102112120 is a wasteful number, since it uses less digits than its factorization.

21200102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774797824 (or 4774797820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21200102112120 its reverse (2121120100212), we get a palindrome (23321222212332).

The spelling of 21200102112120 in words is "twenty-one trillion, two hundred billion, one hundred two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 4774797773 9549595546 14324393319 19099191092 23873988865 28648786638 38198382184 47747977730 57297573276 71621966595 95495955460 114595146552 143243933190 176667517601 190991910920 286487866380 353335035202 530002552803 572975732760 706670070404 883337588005 1060005105606 1413340140808 1766675176010 2120010211212 2650012764015 3533350352020 4240020422424 5300025528030 7066700704040 10600051056060 21200102112120