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331122302010113 is a prime number
BaseRepresentation
bin100101101001001110110101…
…1001100000100001100000001
31121102101222112112212121112112
41023102131223030010030001
5321400101433303310423
63132123252514305105
7126513540215643425
oct11322355314041401
91542358475777475
10331122302010113
11965621a8164889
1231179878b88195
131129b911bc4003
145baa5951a4b85
1528433b6ec1a78
hex12d276b304301

331122302010113 has 2 divisors, whose sum is σ = 331122302010114. Its totient is φ = 331122302010112.

The previous prime is 331122302010107. The next prime is 331122302010293. The reversal of 331122302010113 is 311010203221133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178672732389904 + 152449569620209 = 13366852^2 + 12347047^2 .

It is a cyclic number.

It is not a de Polignac number, because 331122302010113 - 210 = 331122302009089 is a prime.

It is a super-3 number, since 3×3311223020101133 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (331122302010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561151005056 + 165561151005057.

It is an arithmetic number, because the mean of its divisors is an integer number (165561151005057).

Almost surely, 2331122302010113 is an apocalyptic number.

It is an amenable number.

331122302010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

331122302010113 is an equidigital number, since it uses as much as digits as its factorization.

331122302010113 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 23.

Adding to 331122302010113 its reverse (311010203221133), we get a palindrome (642132505231246).

The spelling of 331122302010113 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three hundred two million, ten thousand, one hundred thirteen".