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2231131100201 is a prime number
BaseRepresentation
bin100000011101111001110…
…001101101010000101001
321220021221100210021121122
4200131321301231100221
5243023324030201301
64424544550345025
7320123336304113
oct40357161552051
97807840707548
102231131100201
11790243382373
123004a935b175
13132519397ca3
1479db72d23b3
153d08450681b
hex20779c6d429

2231131100201 has 2 divisors, whose sum is σ = 2231131100202. Its totient is φ = 2231131100200.

The previous prime is 2231131100189. The next prime is 2231131100227. The reversal of 2231131100201 is 1020011311322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2037253800976 + 193877299225 = 1427324^2 + 440315^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231131100201 - 226 = 2231063991337 is a prime.

It is a super-3 number, since 3×22311311002013 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231131100201.

It is not a weakly prime, because it can be changed into another prime (2231131105201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115565550100 + 1115565550101.

It is an arithmetic number, because the mean of its divisors is an integer number (1115565550101).

Almost surely, 22231131100201 is an apocalyptic number.

It is an amenable number.

2231131100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231131100201 is an equidigital number, since it uses as much as digits as its factorization.

2231131100201 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 2231131100201 its reverse (1020011311322), we get a palindrome (3251142411523).

It can be divided in two parts, 2231131 and 100201, that added together give a palindrome (2331332).

The spelling of 2231131100201 in words is "two trillion, two hundred thirty-one billion, one hundred thirty-one million, one hundred thousand, two hundred one".