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21331222323100 = 2252977218333903
BaseRepresentation
bin1001101100110100011111…
…11011011101111110011100
32210112020121120010022022221
410312122033323131332130
510243442320403314400
6113211232300315124
74331062401043324
oct466321773357634
983466546108287
1021331222323100
11688457a996738
122486173242aa4
13bb96aaa82371
1453a618312284
1526ed19d7ec1a
hex13668feddf9c

21331222323100 has 36 divisors (see below), whose sum is σ = 46336131110304. Its totient is φ = 8523755534080.

The previous prime is 21331222323083. The next prime is 21331222323109. The reversal of 21331222323100 is 132322213312.

It is a super-2 number, since 2×213312223231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21331222323109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109069252 + ... + 109264651.

It is an arithmetic number, because the mean of its divisors is an integer number (1287114753064).

Almost surely, 221331222323100 is an apocalyptic number.

21331222323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331222323100 is an abundant number, since it is smaller than the sum of its proper divisors (25004908787204).

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

21331222323100 is a wasteful number, since it uses less digits than its factorization.

21331222323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218334894 (or 218334887 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21331222323100 its reverse (132322213312), we get a palindrome (21463544536412).

The spelling of 21331222323100 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred twenty-two million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 977 1954 3908 4885 9770 19540 24425 48850 97700 218333903 436667806 873335612 1091669515 2183339030 4366678060 5458347575 10916695150 21833390300 213312223231 426624446462 853248892924 1066561116155 2133122232310 4266244464620 5332805580775 10665611161550 21331222323100