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2232041400137 is a prime number
BaseRepresentation
bin100000011110110000000…
…010001110011101001001
321220101021210200022101002
4200132300002032131021
5243032210044301022
64425215145304345
7320155031601563
oct40366002163511
97811253608332
102232041400137
117906701aa16a
123007021950b5
13132632b598c3
147a062170333
153d0d93ba092
hex207b008e749

2232041400137 has 2 divisors, whose sum is σ = 2232041400138. Its totient is φ = 2232041400136.

The previous prime is 2232041399977. The next prime is 2232041400151. The reversal of 2232041400137 is 7310041402322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1815866746681 + 416174653456 = 1347541^2 + 645116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232041400137 is a prime.

It is a super-3 number, since 3×22320414001373 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232041400637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116020700068 + 1116020700069.

It is an arithmetic number, because the mean of its divisors is an integer number (1116020700069).

Almost surely, 22232041400137 is an apocalyptic number.

It is an amenable number.

2232041400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232041400137 is an equidigital number, since it uses as much as digits as its factorization.

2232041400137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 2232041400137 its reverse (7310041402322), we get a palindrome (9542082802459).

The spelling of 2232041400137 in words is "two trillion, two hundred thirty-two billion, forty-one million, four hundred thousand, one hundred thirty-seven".