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20311331221001 is a prime number
BaseRepresentation
bin1001001111001000110011…
…01011101010111000001001
32122220202002121002012102202
410213210121223222320021
510130240101243033001
6111110521410405545
74164305502522062
oct447443153527011
978822077065382
1020311331221001
116520a94a60397
12234057b8908b5
13b44472849732
1450310624d569
1525352720d96b
hex127919aeae09

20311331221001 has 2 divisors, whose sum is σ = 20311331221002. Its totient is φ = 20311331221000.

The previous prime is 20311331220893. The next prime is 20311331221021. The reversal of 20311331221001 is 10012213311302.

It is a happy number.

It is an a-pointer prime, because the next prime (20311331221021) can be obtained adding 20311331221001 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17647972500601 + 2663358720400 = 4200949^2 + 1631980^2 .

It is a cyclic number.

It is not a de Polignac number, because 20311331221001 - 238 = 20036453314057 is a prime.

It is not a weakly prime, because it can be changed into another prime (20311331221021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10155665610500 + 10155665610501.

It is an arithmetic number, because the mean of its divisors is an integer number (10155665610501).

Almost surely, 220311331221001 is an apocalyptic number.

It is an amenable number.

20311331221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20311331221001 is an equidigital number, since it uses as much as digits as its factorization.

20311331221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20311331221001 its reverse (10012213311302), we get a palindrome (30323544532303).

The spelling of 20311331221001 in words is "twenty trillion, three hundred eleven billion, three hundred thirty-one million, two hundred twenty-one thousand, one".