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21442332402001 = 72437598620449
BaseRepresentation
bin1001110000000011011101…
…00110110010000101010001
32210220212102000100010200101
410320001232212302011101
510302302344043331001
6113334245503052401
74342104662115400
oct470015646620521
983825360303611
1021442332402001
116917707705525
1224a38018a1101
13bc700724b694
14541b58ad9637
15272b6e64ea01
hex13806e9b2151

21442332402001 has 6 divisors (see below), whose sum is σ = 24943121365650. Its totient is φ = 18379142058816.

The previous prime is 21442332401983. The next prime is 21442332402059. The reversal of 21442332402001 is 10020423324412.

It can be written as a sum of positive squares in only one way, i.e., 19219105281600 + 2223227120401 = 4383960^2 + 1491049^2 .

It is not a de Polignac number, because 21442332402001 - 213 = 21442332393809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21442332402091) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 218799310176 + ... + 218799310273.

It is an arithmetic number, because the mean of its divisors is an integer number (4157186894275).

Almost surely, 221442332402001 is an apocalyptic number.

It is an amenable number.

21442332402001 is a deficient number, since it is larger than the sum of its proper divisors (3500788963649).

21442332402001 is an equidigital number, since it uses as much as digits as its factorization.

21442332402001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437598620463 (or 437598620456 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21442332402001 its reverse (10020423324412), we get a palindrome (31462755726413).

The spelling of 21442332402001 in words is "twenty-one trillion, four hundred forty-two billion, three hundred thirty-two million, four hundred two thousand, one".

Divisors: 1 7 49 437598620449 3063190343143 21442332402001