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2240232422401 is a prime number
BaseRepresentation
bin100000100110011000010…
…000011111110000000001
321221011102122112100120001
4200212120100133300001
5243200444000004101
64433052031320001
7320565022255141
oct40463020376001
97834378470501
102240232422401
11794093888456
12302209380001
13133339b3283c
147a5dbd60921
153d418549901
hex2099841fc01

2240232422401 has 2 divisors, whose sum is σ = 2240232422402. Its totient is φ = 2240232422400.

The previous prime is 2240232422327. The next prime is 2240232422429. The reversal of 2240232422401 is 1042242320422.

It is a happy number.

It is an a-pointer prime, because the next prime (2240232422429) can be obtained adding 2240232422401 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1138574361600 + 1101658060801 = 1067040^2 + 1049599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2240232422401 - 223 = 2240224033793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2240232422401.

It is not a weakly prime, because it can be changed into another prime (2240232422101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120116211200 + 1120116211201.

It is an arithmetic number, because the mean of its divisors is an integer number (1120116211201).

Almost surely, 22240232422401 is an apocalyptic number.

It is an amenable number.

2240232422401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2240232422401 is an equidigital number, since it uses as much as digits as its factorization.

2240232422401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2240232422401 its reverse (1042242320422), we get a palindrome (3282474742823).

The spelling of 2240232422401 in words is "two trillion, two hundred forty billion, two hundred thirty-two million, four hundred twenty-two thousand, four hundred one".