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331120022441 = 13118012158357
BaseRepresentation
bin1001101000110000100…
…10101001001110101001
31011122200022201222001212
410310120102221032221
520411113211204231
6412040415122505
732631314515625
oct4643022511651
91148608658055
10331120022441
1111847769080a
125420b513435
13252bc265080
141205221c185
15892e7c642b
hex4d184a93a9

331120022441 has 8 divisors (see below), whose sum is σ = 356621175624. Its totient is φ = 305623209600.

The previous prime is 331120022423. The next prime is 331120022447. The reversal of 331120022441 is 144220021133.

It can be written as a sum of positive squares in 4 ways, for example, as 1488400 + 331118534041 = 1220^2 + 575429^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331120022441 - 214 = 331120006057 is a prime.

It is a super-2 number, since 2×3311200224412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331120022447) 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 in 7 ways as a sum of consecutive naturals, for example, 925766 + ... + 1232591.

It is an arithmetic number, because the mean of its divisors is an integer number (44577646953).

Almost surely, 2331120022441 is an apocalyptic number.

It is an amenable number.

331120022441 is a deficient number, since it is larger than the sum of its proper divisors (25501153183).

331120022441 is a wasteful number, since it uses less digits than its factorization.

331120022441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170171.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 331120022441 its reverse (144220021133), we get a palindrome (475340043574).

The spelling of 331120022441 in words is "three hundred thirty-one billion, one hundred twenty million, twenty-two thousand, four hundred forty-one".

Divisors: 1 13 11801 153413 2158357 28058641 25470770957 331120022441