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21312001320001 = 72758957311741
BaseRepresentation
bin1001101100010000101100…
…10001001010010001000001
32210110102000000102011221021
410312020112101022101001
510243133434314220001
6113154333115425441
74326512155155400
oct466102621122101
983412000364837
1021312001320001
116877407162607
1224824aa155281
13bb79368b5752
14539713689637
1526e5926dcba1
hex13621644a441

21312001320001 has 12 divisors (see below), whose sum is σ = 24794778941460. Its totient is φ = 18265022291040.

The previous prime is 21312001319977. The next prime is 21312001320011. The reversal of 21312001320001 is 10002310021312.

It can be written as a sum of positive squares in 2 ways, for example, as 2945428250625 + 18366573069376 = 1716225^2 + 4285624^2 .

It is not a de Polignac number, because 21312001320001 - 25 = 21312001319969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21312001320011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28284010 + ... + 29027731.

It is an arithmetic number, because the mean of its divisors is an integer number (2066231578455).

Almost surely, 221312001320001 is an apocalyptic number.

It is an amenable number.

21312001320001 is a deficient number, since it is larger than the sum of its proper divisors (3482777621459).

21312001320001 is an equidigital number, since it uses as much as digits as its factorization.

21312001320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57319344 (or 57319337 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21312001320001 its reverse (10002310021312), we get a palindrome (31314311341313).

The spelling of 21312001320001 in words is "twenty-one trillion, three hundred twelve billion, one million, three hundred twenty thousand, one".

Divisors: 1 7 49 7589 53123 371861 57311741 401182187 2808275309 434938802449 3044571617143 21312001320001