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331331013 = 33136773193
BaseRepresentation
bin10011101111111…
…011010111000101
3212002110100201000
4103233323113011
51134310043023
652513323513
711132160426
oct2357732705
9762410630
10331331013
11160033992
1292b66599
135384a870
143200b64d
151e14c243
hex13bfb5c5

331331013 has 64 divisors (see below), whose sum is σ = 546676480. Its totient is φ = 197074944.

The previous prime is 331331009. The next prime is 331331047. The reversal of 331331013 is 310133133.

331331013 is a `hidden beast` number, since 331 + 331 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 331331013 - 22 = 331331009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331331083) 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 in 63 ways as a sum of consecutive naturals, for example, 1716645 + ... + 1716837.

It is an arithmetic number, because the mean of its divisors is an integer number (8541820).

Almost surely, 2331331013 is an apocalyptic number.

It is an amenable number.

331331013 is a deficient number, since it is larger than the sum of its proper divisors (215345467).

331331013 is a wasteful number, since it uses less digits than its factorization.

331331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 331331013 is about 18202.5001854141. The cubic root of 331331013 is about 691.9701537742.

Adding to 331331013 its reverse (310133133), we get a palindrome (641464146).

The spelling of 331331013 in words is "three hundred thirty-one million, three hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 13 27 39 67 73 117 193 201 219 351 579 603 657 871 949 1737 1809 1971 2509 2613 2847 4891 5211 7527 7839 8541 12931 14089 14673 22581 23517 25623 38793 42267 44019 63583 67743 116379 126801 132057 168103 183157 190749 349137 380403 504309 549471 572247 943963 1512927 1648413 1716741 2831889 4538781 4945239 8495667 12271519 25487001 36814557 110443671 331331013