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10031322220001 = 13794177812253
BaseRepresentation
bin1001000111111001100101…
…1001011100010111100001
31022111222121002111220001122
42101332121121130113201
52303323121442020001
633200154212542025
72053511342000045
oct221763131342741
938458532456048
1010031322220001
113218294971555
121160179621915
13579c46438304
14269739000025
15125e0eb9ab1b
hex91f9965c5e1

10031322220001 has 8 divisors (see below), whose sum is σ = 10115281770984. Its totient is φ = 9947518295680.

The previous prime is 10031322219991. The next prime is 10031322220013. The reversal of 10031322220001 is 10002222313001.

It can be written as a sum of positive squares in 4 ways, for example, as 4354730066401 + 5676592153600 = 2086799^2 + 2382560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10031322220001 - 26 = 10031322219937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031322220061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38777210 + ... + 39035043.

It is an arithmetic number, because the mean of its divisors is an integer number (1264410221373).

Almost surely, 210031322220001 is an apocalyptic number.

It is an amenable number.

10031322220001 is a deficient number, since it is larger than the sum of its proper divisors (83959550983).

10031322220001 is an equidigital number, since it uses as much as digits as its factorization.

10031322220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77813331.

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

Adding to 10031322220001 its reverse (10002222313001), we get a palindrome (20033544533002).

The spelling of 10031322220001 in words is "ten trillion, thirty-one billion, three hundred twenty-two million, two hundred twenty thousand, one".

Divisors: 1 137 941 128917 77812253 10660278661 73221330073 10031322220001