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331121552101 is a prime number
BaseRepresentation
bin1001101000110000110…
…00011110101011100101
31011122200102121200100221
410310120120132223211
520411114104131401
6412040512004341
732631333516364
oct4643030365345
91148612550327
10331121552101
11118478535a9a
125420bb306b1
13252bc67c3b2
14120524d97db
15892e9c97a1
hex4d1861eae5

331121552101 has 2 divisors, whose sum is σ = 331121552102. Its totient is φ = 331121552100.

The previous prime is 331121552093. The next prime is 331121552189. The reversal of 331121552101 is 101255121133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324244830625 + 6876721476 = 569425^2 + 82926^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121552101 - 23 = 331121552093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331121552191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560776050 + 165560776051.

It is an arithmetic number, because the mean of its divisors is an integer number (165560776051).

Almost surely, 2331121552101 is an apocalyptic number.

It is an amenable number.

331121552101 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121552101 is an equidigital number, since it uses as much as digits as its factorization.

331121552101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 331121552101 its reverse (101255121133), we get a palindrome (432376673234).

The spelling of 331121552101 in words is "three hundred thirty-one billion, one hundred twenty-one million, five hundred fifty-two thousand, one hundred one".