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32002001130321 = 335981124770827
BaseRepresentation
bin1110100011011000010111…
…11010001101001101010001
311012022100202111000120012000
413101230023322031031101
513143310044242132241
6152021303311224213
76512032264254405
oct721541372151521
9135270674016160
1032002001130321
11a218a77390752
12370a251518069
1314b1a114552b1
147c8c9590b105
153a76a37ddeb6
hex1d1b0be8d351

32002001130321 has 32 divisors (see below), whose sum is σ = 48273389606400. Its totient is φ = 20947201298640.

The previous prime is 32002001130227. The next prime is 32002001130343. The reversal of 32002001130321 is 12303110020023.

32002001130321 is a `hidden beast` number, since 32 + 0 + 0 + 200 + 113 + 0 + 321 = 666.

It is not a de Polignac number, because 32002001130321 - 225 = 32001967575889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32002001130294 and 32002001130303.

It is not an unprimeable number, because it can be changed into a prime (32002001137321) 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 31 ways as a sum of consecutive naturals, for example, 11093491 + ... + 13677336.

It is an arithmetic number, because the mean of its divisors is an integer number (1508543425200).

Almost surely, 232002001130321 is an apocalyptic number.

It is an amenable number.

32002001130321 is a deficient number, since it is larger than the sum of its proper divisors (16271388476079).

32002001130321 is a wasteful number, since it uses less digits than its factorization.

32002001130321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24771706 (or 24771700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32002001130321 its reverse (12303110020023), we get a palindrome (44305111150344).

The spelling of 32002001130321 in words is "thirty-two trillion, two billion, one million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 59 177 531 811 1593 2433 7299 21897 47849 143547 430641 1291923 24770827 74312481 222937443 668812329 1461478793 4384436379 13153309137 20089140697 39459927411 60267422091 180802266273 542406798819 1185259301123 3555777903369 10667333710107 32002001130321