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442002221001 = 321137181666667
BaseRepresentation
bin1100110111010010110…
…00101010011111001001
31120020212220011021100200
412123221120222133021
524220210032033001
6535015241322413
743635140613555
oct6335130523711
91506786137320
10442002221001
111604a7804740
12717b5796409
13328b0464b53
1417570646865
15b76e081086
hex66e962a7c9

442002221001 has 48 divisors (see below), whose sum is σ = 719265438528. Its totient is φ = 259199740800.

The previous prime is 442002220993. The next prime is 442002221069. The reversal of 442002221001 is 100122200244.

442002221001 is a `hidden beast` number, since 442 + 0 + 0 + 2 + 221 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 442002221001 - 23 = 442002220993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442002222001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329670 + ... + 996336.

It is an arithmetic number, because the mean of its divisors is an integer number (14984696636).

Almost surely, 2442002221001 is an apocalyptic number.

It is an amenable number.

442002221001 is a deficient number, since it is larger than the sum of its proper divisors (277263217527).

442002221001 is a wasteful number, since it uses less digits than its factorization.

442002221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666902 (or 666899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 442002221001 its reverse (100122200244), we get a palindrome (542124421245).

The spelling of 442002221001 in words is "four hundred forty-two billion, two million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 11 33 37 99 111 181 333 407 543 1221 1629 1991 3663 5973 6697 17919 20091 60273 73667 221001 663003 666667 2000001 6000003 7333337 22000011 24666679 66000033 74000037 120666727 222000111 271333469 362000181 814000407 1086000543 1327333997 2442001221 3982001991 4464668899 11946005973 13394006697 40182020091 49111357889 147334073667 442002221001