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21201223120440 = 23351131975341381
BaseRepresentation
bin1001101001000010010110…
…10111110111011000111000
32210001211001200200120110020
410310201023113313120320
510234330101104323230
6113031412450250440
74315511034046506
oct464411327673070
983054050616406
1021201223120440
11683442a811670
122464b32886a20
13baa3610c973c
14534204db3676
1526b75c127810
hex13484b5f7638

21201223120440 has 256 divisors, whose sum is σ = 72362479472640. Its totient is φ = 4922615808000.

The previous prime is 21201223120411. The next prime is 21201223120457. The reversal of 21201223120440 is 4402132210212.

It is a super-2 number, since 2×212012231204402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21201223120440.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1298550 + ... + 6639930.

It is an arithmetic number, because the mean of its divisors is an integer number (282665935440).

Almost surely, 221201223120440 is an apocalyptic number.

21201223120440 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 21201223120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36181239736320).

21201223120440 is an abundant number, since it is smaller than the sum of its proper divisors (51161256352200).

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

21201223120440 is a wasteful number, since it uses less digits than its factorization.

21201223120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341534 (or 5341530 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21201223120440 its reverse (4402132210212), we get a palindrome (25603355330652).

The spelling of 21201223120440 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-three million, one hundred twenty thousand, four hundred forty".