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331130021013 = 321113924062933
BaseRepresentation
bin1001101000110001110…
…00110010010010010101
31011122201000112221112100
410310120320302102111
520411123241133023
6412041413312313
732631465511161
oct4643070622225
91148630487470
10331130021013
1111848229a8a0
1254212935699
13252c135609c
14120536a1ca1
1589305edc43
hex4d18e32495

331130021013 has 24 divisors (see below), whose sum is σ = 525534478560. Its totient is φ = 199241076960.

The previous prime is 331130020967. The next prime is 331130021039. The reversal of 331130021013 is 310120031133.

It is a happy number.

331130021013 is a `hidden beast` number, since 331 + 1 + 300 + 21 + 0 + 13 = 666.

It is not a de Polignac number, because 331130021013 - 220 = 331128972437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331130021213) 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 23 ways as a sum of consecutive naturals, for example, 12017706 + ... + 12045227.

It is an arithmetic number, because the mean of its divisors is an integer number (21897269940).

Almost surely, 2331130021013 is an apocalyptic number.

331130021013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331130021013 is a deficient number, since it is larger than the sum of its proper divisors (194404457547).

331130021013 is a wasteful number, since it uses less digits than its factorization.

331130021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24063089 (or 24063086 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331130021013 its reverse (310120031133), we get a palindrome (641250052146).

The spelling of 331130021013 in words is "three hundred thirty-one billion, one hundred thirty million, twenty-one thousand, thirteen".

Divisors: 1 3 9 11 33 99 139 417 1251 1529 4587 13761 24062933 72188799 216566397 264692263 794076789 2382230367 3344747687 10034243061 30102729183 36792224557 110376673671 331130021013