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221131231001 is a prime number
BaseRepresentation
bin1100110111110001110…
…0101100111100011001
3210010210000102102221122
43031330130230330121
512110334043343001
6245330345415025
721655560310322
oct3157434547431
9703700372848
10221131231001
11858658a687a
1236a3449a475
1317b11190b65
14a9ba715449
155b43694b1b
hex337c72cf19

221131231001 has 2 divisors, whose sum is σ = 221131231002. Its totient is φ = 221131231000.

The previous prime is 221131230953. The next prime is 221131231127. The reversal of 221131231001 is 100132131122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189952147225 + 31179083776 = 435835^2 + 176576^2 .

It is a cyclic number.

It is not a de Polignac number, because 221131231001 - 230 = 220057489177 is a prime.

It is not a weakly prime, because it can be changed into another prime (221131234001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110565615500 + 110565615501.

It is an arithmetic number, because the mean of its divisors is an integer number (110565615501).

Almost surely, 2221131231001 is an apocalyptic number.

It is an amenable number.

221131231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221131231001 is an equidigital number, since it uses as much as digits as its factorization.

221131231001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221131231001 its reverse (100132131122), we get a palindrome (321263362123).

The spelling of 221131231001 in words is "two hundred twenty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, one".