Search a number
-
+
10032033432001 = 719190139678497
BaseRepresentation
bin1001000111111100001111…
…0010100000000111000001
31022112001102122210012111211
42101333003302200013001
52303331101024311001
633200352540410121
72053535066126320
oct221770362400701
938461378705454
1010032033432001
11321861a379669
121160337846941
1357a02a8a1b09
142697a56560b7
15125e52335351
hex91fc3ca01c1

10032033432001 has 16 divisors (see below), whose sum is σ = 12074960511360. Its totient is φ = 8142027379200.

The previous prime is 10032033431989. The next prime is 10032033432013. The reversal of 10032033432001 is 10023433023001.

It is an interprime number because it is at equal distance from previous prime (10032033431989) and next prime (10032033432013).

It is not a de Polignac number, because 10032033432001 - 25 = 10032033431969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032033432061) 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 15 ways as a sum of consecutive naturals, for example, 19586416 + ... + 20092081.

It is an arithmetic number, because the mean of its divisors is an integer number (754685031960).

Almost surely, 210032033432001 is an apocalyptic number.

It is an amenable number.

10032033432001 is a deficient number, since it is larger than the sum of its proper divisors (2042927079359).

10032033432001 is a wasteful number, since it uses less digits than its factorization.

10032033432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39680424.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10032033432001 its reverse (10023433023001), we get a palindrome (20055466455002).

The spelling of 10032033432001 in words is "ten trillion, thirty-two billion, thirty-three million, four hundred thirty-two thousand, one".

Divisors: 1 7 19 133 1901 13307 36119 252833 39678497 277749479 753891443 5277240101 75428822797 528001759579 1433147633143 10032033432001