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2232231012001 is a prime number
BaseRepresentation
bin100000011110111011010…
…101100010011010100001
321220101210000110120221201
4200132323111202122201
5243033102114341001
64425250041321201
7320162523352054
oct40367325423241
97811700416851
102232231012001
11790758237391
12300755796201
13132663217783
147a07d40aa9b
153d0ead71501
hex207bb5626a1

2232231012001 has 2 divisors, whose sum is σ = 2232231012002. Its totient is φ = 2232231012000.

The previous prime is 2232231011999. The next prime is 2232231012107. The reversal of 2232231012001 is 1002101322322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1446439182400 + 785791829601 = 1202680^2 + 886449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232231012001 - 21 = 2232231011999 is a prime.

It is a super-3 number, since 3×22322310120013 (a number of 38 digits) contains 333 as substring.

Together with 2232231011999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2232231012001.

It is not a weakly prime, because it can be changed into another prime (2232231018001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116115506000 + 1116115506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1116115506001).

Almost surely, 22232231012001 is an apocalyptic number.

It is an amenable number.

2232231012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232231012001 is an equidigital number, since it uses as much as digits as its factorization.

2232231012001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2232231012001 its reverse (1002101322322), we get a palindrome (3234332334323).

The spelling of 2232231012001 in words is "two trillion, two hundred thirty-two billion, two hundred thirty-one million, twelve thousand, one".