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101331233221 is a prime number
BaseRepresentation
bin101111001011111001…
…1111110100111000101
3100200112221120222220211
41132113303332213011
53130011243430341
6114314555555421
710215040161631
oct1362763764705
9320487528824
10101331233221
1139a79926349
121777b75bb71
13972b561aca
144c93b91dc1
152981049181
hex1797cfe9c5

101331233221 has 2 divisors, whose sum is σ = 101331233222. Its totient is φ = 101331233220.

The previous prime is 101331233207. The next prime is 101331233249. The reversal of 101331233221 is 122332133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94486152996 + 6845080225 = 307386^2 + 82735^2 .

It is an emirp because it is prime and its reverse (122332133101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101331233221 - 25 = 101331233189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331233192 and 101331233201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331263221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665616610 + 50665616611.

It is an arithmetic number, because the mean of its divisors is an integer number (50665616611).

Almost surely, 2101331233221 is an apocalyptic number.

It is an amenable number.

101331233221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331233221 is an equidigital number, since it uses as much as digits as its factorization.

101331233221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101331233221 its reverse (122332133101), we get a palindrome (223663366322).

The spelling of 101331233221 in words is "one hundred one billion, three hundred thirty-one million, two hundred thirty-three thousand, two hundred twenty-one".