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101331300221 is a prime number
BaseRepresentation
bin101111001011111010…
…0001110111101111101
3100200112221201101211022
41132113310032331331
53130011303101341
6114315001233525
710215040561154
oct1362764167575
9320487641738
10101331300221
1139a79971718
121777b7928a5
13972b586458
144c93bac59b
15298105de4b
hex1797d0ef7d

101331300221 has 2 divisors, whose sum is σ = 101331300222. Its totient is φ = 101331300220.

The previous prime is 101331300209. The next prime is 101331300247. The reversal of 101331300221 is 122003133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86075344996 + 15255955225 = 293386^2 + 123515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101331300221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101331300221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331200221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665650110 + 50665650111.

It is an arithmetic number, because the mean of its divisors is an integer number (50665650111).

Almost surely, 2101331300221 is an apocalyptic number.

It is an amenable number.

101331300221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331300221 is an equidigital number, since it uses as much as digits as its factorization.

101331300221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101331300221 its reverse (122003133101), we get a palindrome (223334433322).

The spelling of 101331300221 in words is "one hundred one billion, three hundred thirty-one million, three hundred thousand, two hundred twenty-one".