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332132130001 = 729131116310739
BaseRepresentation
bin1001101010101001001…
…11100001110011010001
31011202021212012100122001
410311110213201303101
520420201311130001
6412325052114001
732665354344550
oct4652447416321
91152255170561
10332132130001
11118946a24141
1254452465901
1325420b51199
141210a7dbd97
15898d59a001
hex4d549e1cd1

332132130001 has 32 divisors (see below), whose sum is σ = 396043084800. Its totient is φ = 272509823040.

The previous prime is 332132129951. The next prime is 332132130007. The reversal of 332132130001 is 100031231233.

It is not a de Polignac number, because 332132130001 - 229 = 331595259089 is a prime.

It is a super-2 number, since 2×3321321300012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332132130007) 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 31 ways as a sum of consecutive naturals, for example, 30922290 + ... + 30933028.

It is an arithmetic number, because the mean of its divisors is an integer number (12376346400).

Almost surely, 2332132130001 is an apocalyptic number.

It is an amenable number.

332132130001 is a deficient number, since it is larger than the sum of its proper divisors (63910954799).

332132130001 is a wasteful number, since it uses less digits than its factorization.

332132130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 332132130001 its reverse (100031231233), we get a palindrome (432163361234).

The spelling of 332132130001 in words is "three hundred thirty-two billion, one hundred thirty-two million, one hundred thirty thousand, one".

Divisors: 1 7 29 131 203 917 1163 3799 8141 10739 26593 33727 75173 152353 236089 311431 1066471 1406809 2180017 4418237 9847663 12489457 30927659 40797461 87426199 285582227 362194253 1636118867 2535359771 11452832069 47447447143 332132130001