Search a number
-
+
221000101037 is a prime number
BaseRepresentation
bin1100110111010010100…
…0011110110010101101
3210010102212200100110022
43031310220132302231
512110102011213122
6245305343051525
721652405602242
oct3156450366255
9703385610408
10221000101037
11857a8882a01
12369b85a0ba5
1317abcc6ac71
14a9a713d5c9
155b36de1642
hex3374a1ecad

221000101037 has 2 divisors, whose sum is σ = 221000101038. Its totient is φ = 221000101036.

The previous prime is 221000101001. The next prime is 221000101039. The reversal of 221000101037 is 730101000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139794479881 + 81205621156 = 373891^2 + 284966^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000101037 - 28 = 221000100781 is a prime.

Together with 221000101039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221000101039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500050518 + 110500050519.

It is an arithmetic number, because the mean of its divisors is an integer number (110500050519).

Almost surely, 2221000101037 is an apocalyptic number.

It is an amenable number.

221000101037 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000101037 is an equidigital number, since it uses as much as digits as its factorization.

221000101037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 221000101037 its reverse (730101000122), we get a palindrome (951101101159).

The spelling of 221000101037 in words is "two hundred twenty-one billion, one hundred one thousand, thirty-seven".