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3331122101 is a prime number
BaseRepresentation
bin1100011010001100…
…1110001110110101
322121011002112110122
43012203032032311
523310231401401
61310313301325
7145356033146
oct30643161665
98534075418
103331122101
11145a37137a
1278b704845
1341118ac88
1423859bacd
1514769e21b
hexc68ce3b5

3331122101 has 2 divisors, whose sum is σ = 3331122102. Its totient is φ = 3331122100.

The previous prime is 3331122097. The next prime is 3331122167. The reversal of 3331122101 is 1012211333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3250140100 + 80982001 = 57010^2 + 8999^2 .

It is a cyclic number.

It is not a de Polignac number, because 3331122101 - 22 = 3331122097 is a prime.

It is a super-2 number, since 2×33311221012 = 22192748903541308402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3331122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3331122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665561050 + 1665561051.

It is an arithmetic number, because the mean of its divisors is an integer number (1665561051).

Almost surely, 23331122101 is an apocalyptic number.

It is an amenable number.

3331122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331122101 is an equidigital number, since it uses as much as digits as its factorization.

3331122101 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.

The square root of 3331122101 is about 57715.8739083105. The cubic root of 3331122101 is about 1493.4711948828.

Adding to 3331122101 its reverse (1012211333), we get a palindrome (4343333434).

The spelling of 3331122101 in words is "three billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred one".