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10022311323001 is a prime number
BaseRepresentation
bin1001000111011000000001…
…0011100110010101111001
31022111010100002220220011201
42101312000103212111321
52303201143144314001
633152104122054201
72053042134432235
oct221660023462571
938433302826151
1010022311323001
11321449050823a
12115a48394a361
1357913b6410b3
1426912238d5c5
15125a83a6a501
hex91d804e6579

10022311323001 has 2 divisors, whose sum is σ = 10022311323002. Its totient is φ = 10022311323000.

The previous prime is 10022311322999. The next prime is 10022311323043. The reversal of 10022311323001 is 10032311322001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9758901157776 + 263410165225 = 3123924^2 + 513235^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022311323001 - 21 = 10022311322999 is a prime.

Together with 10022311322999, 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 10022311323001.

It is not a weakly prime, because it can be changed into another prime (10022311323061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011155661500 + 5011155661501.

It is an arithmetic number, because the mean of its divisors is an integer number (5011155661501).

Almost surely, 210022311323001 is an apocalyptic number.

It is an amenable number.

10022311323001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022311323001 is an equidigital number, since it uses as much as digits as its factorization.

10022311323001 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 19.

Adding to 10022311323001 its reverse (10032311322001), we get a palindrome (20054622645002).

It can be divided in two parts, 1002231 and 1323001, that added together give a palindrome (2325232).

The spelling of 10022311323001 in words is "ten trillion, twenty-two billion, three hundred eleven million, three hundred twenty-three thousand, one".