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332212102001 = 13172296564289
BaseRepresentation
bin1001101010110010110…
…00100110001101110001
31011202111102200100120222
410311121120212031301
520420332244231001
6412341030142425
733000345163223
oct4653130461561
91152442610528
10332212102001
111189880862aa
12544751b1a15
13254345a18b0
1412117298413
1589955e561b
hex4d59626371

332212102001 has 16 divisors (see below), whose sum is σ = 380466248400. Its totient is φ = 287358271488.

The previous prime is 332212101961. The next prime is 332212102003. The reversal of 332212102001 is 100201212233.

It can be written as a sum of positive squares in 8 ways, for example, as 6650565601 + 325561536400 = 81551^2 + 570580^2 .

It is a cyclic number.

It is not a de Polignac number, because 332212102001 - 218 = 332211839857 is a prime.

It is a super-2 number, since 2×3322121020012 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332212102003) 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, 3231536 + ... + 3332753.

It is an arithmetic number, because the mean of its divisors is an integer number (23779140525).

Almost surely, 2332212102001 is an apocalyptic number.

It is an amenable number.

332212102001 is a deficient number, since it is larger than the sum of its proper divisors (48254146399).

332212102001 is a wasteful number, since it uses less digits than its factorization.

332212102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564548.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 332212102001 its reverse (100201212233), we get a palindrome (432413314234).

The spelling of 332212102001 in words is "three hundred thirty-two billion, two hundred twelve million, one hundred two thousand, one".

Divisors: 1 13 17 221 229 2977 3893 50609 6564289 85335757 111592913 1450707869 1503222181 19541888353 25554777077 332212102001