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21321121312200 = 23352172090306011
BaseRepresentation
bin1001101100100001101011…
…10111001010110111001000
32210111021112121021210022010
410312100311313022313020
510243311124023442300
6113202442104455520
74330254155626053
oct466206567126710
983437477253263
1021321121312200
11688026715a746
12248421447a5a0
13bb875b189238
14539d3a9b7a9a
1526e9281bca50
hex136435dcadc8

21321121312200 has 96 divisors (see below), whose sum is σ = 69983445281760. Its totient is φ = 5351183385600.

The previous prime is 21321121312177. The next prime is 21321121312207. The reversal of 21321121312200 is 221312112312.

21321121312200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (21321121312207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045142806 + ... + 1045163205.

It is an arithmetic number, because the mean of its divisors is an integer number (728994221685).

Almost surely, 221321121312200 is an apocalyptic number.

21321121312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321121312200 is an abundant number, since it is smaller than the sum of its proper divisors (48662323969560).

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

21321121312200 is a wasteful number, since it uses less digits than its factorization.

21321121312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090306047 (or 2090306038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21321121312200 its reverse (221312112312), we get a palindrome (21542433424512).

The spelling of 21321121312200 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 2090306011 4180612022 6270918033 8361224044 10451530055 12541836066 16722448088 20903060110 25083672132 31354590165 35535202187 41806120220 50167344264 52257650275 62709180330 71070404374 83612240440 104515300550 106605606561 125418360660 142140808748 156772950825 177676010935 209030601100 213211213122 250836721320 284281617496 313545901650 355352021870 418061202200 426422426244 533028032805 627091803300 710704043740 852844852488 888380054675 1066056065610 1254183606600 1421408087480 1776760109350 2132112131220 2665140164025 3553520218700 4264224262440 5330280328050 7107040437400 10660560656100 21321121312200