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1330331013024 = 253131762704139
BaseRepresentation
bin10011010110111101111…
…010000100111110100000
311201011211001111120002220
4103112331322010332200
5133244004214404044
62455051242311040
7165053562014646
oct23267572047640
94634731446086
101330331013024
114732101a2202
121959b11b8480
13985acc28420
144856195b196
1524911b37019
hex135bde84fa0

1330331013024 has 96 divisors (see below), whose sum is σ = 3981963706560. Its totient is φ = 385254223872.

The previous prime is 1330331013023. The next prime is 1330331013043. The reversal of 1330331013024 is 4203101330331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1330331012985 and 1330331013003.

It is not an unprimeable number, because it can be changed into a prime (1330331013023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31330854 + ... + 31373285.

It is an arithmetic number, because the mean of its divisors is an integer number (41478788610).

Almost surely, 21330331013024 is an apocalyptic number.

It is an amenable number.

1330331013024 is an abundant number, since it is smaller than the sum of its proper divisors (2651632693536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1330331013024 is a wasteful number, since it uses less digits than its factorization.

1330331013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62704182 (or 62704174 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1330331013024 its reverse (4203101330331), we get a palindrome (5533432343355).

The spelling of 1330331013024 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 7072 10608 21216 62704139 125408278 188112417 250816556 376224834 501633112 752449668 815153807 1003266224 1065970363 1504899336 1630307614 2006532448 2131940726 2445461421 3009798672 3197911089 3260615228 4263881452 4890922842 6019597344 6395822178 6521230456 8527762904 9781845684 12791644356 13042460912 13857614719 17055525808 19563691368 25583288712 26084921824 27715229438 34111051616 39127382736 41572844157 51166577424 55430458876 78254765472 83145688314 102333154848 110860917752 166291376628 221721835504 332582753256 443443671008 665165506512 1330331013024