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442032304201123 = 31731341714558413
BaseRepresentation
bin110010010000001101010101…
…0011110001001110110100011
32010222002212122022002102111211
41210200122222132021312203
5430414224124333413443
64204042500455250551
7162051531366462466
oct14440325236116643
92128085568072454
10442032304201123
11118932935a65a29
12416b09a4379a57
1315c8560cc2808c
147b22698a612dd
15361841bda319d
hex19206aa789da3

442032304201123 has 16 divisors (see below), whose sum is σ = 462576484155136. Its totient is φ = 421881815646720.

The previous prime is 442032304201051. The next prime is 442032304201211. The reversal of 442032304201123 is 321102403230244.

It is a cyclic number.

It is not a de Polignac number, because 442032304201123 - 233 = 442023714266531 is a prime.

It is a super-2 number, since 2×4420323042011232 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442032304211123) 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 15 ways as a sum of consecutive naturals, for example, 23083465 + ... + 37641877.

It is an arithmetic number, because the mean of its divisors is an integer number (28911030259696).

Almost surely, 2442032304201123 is an apocalyptic number.

442032304201123 is a deficient number, since it is larger than the sum of its proper divisors (20544179954013).

442032304201123 is a wasteful number, since it uses less digits than its factorization.

442032304201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571934.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 442032304201123 its reverse (321102403230244), we get a palindrome (763134707431367).

The spelling of 442032304201123 in words is "four hundred forty-two trillion, thirty-two billion, three hundred four million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 31 73 2263 13417 415927 979441 14558413 30362671 451310803 1062764149 32945688619 195330227221 6055237043851 14259106587133 442032304201123