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21342021222400 = 2195212712821
BaseRepresentation
bin1001101101001000100111…
…00110000000000000000000
32210120021111011011020021021
410312210103212000000000
510244131424413104100
6113220220022235224
74331624116135624
oct466442346000000
983507434136237
1021342021222400
11688911165a5aa
122488287885b14
13bba70c1286c8
1453ad605d5184
1527024ce48a1a
hex136913980000

21342021222400 has 240 divisors, whose sum is σ = 53349080083200. Its totient is φ = 8468928921600.

The previous prime is 21342021222383. The next prime is 21342021222433. The reversal of 21342021222400 is 422212024312.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1664607990 + ... + 1664620810.

It is an arithmetic number, because the mean of its divisors is an integer number (222287833680).

Almost surely, 221342021222400 is an apocalyptic number.

21342021222400 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 21342021222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26674540041600).

21342021222400 is an abundant number, since it is smaller than the sum of its proper divisors (32007058860800).

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

21342021222400 is an frugal number, since it uses more digits than its factorization.

21342021222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12955 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 21342021222400 its reverse (422212024312), we get a palindrome (21764233246712).

The spelling of 21342021222400 in words is "twenty-one trillion, three hundred forty-two billion, twenty-one million, two hundred twenty-two thousand, four hundred".