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12331006065 = 325734991601
BaseRepresentation
bin10110111101111110…
…00011100001110001
31011211100222000022100
423132333003201301
5200223214143230
65355332131013
7614400552000
oct133677034161
934740860270
1012331006065
115258593404
122481766a69
1312168ca4c1
1484d982c37
154c2856660
hex2defc3871

12331006065 has 96 divisors (see below), whose sum is σ = 24991200000. Its totient is φ = 5622220800.

The previous prime is 12331006033. The next prime is 12331006187. The reversal of 12331006065 is 56060013321.

12331006065 is a `hidden beast` number, since 1 + 23 + 31 + 0 + 0 + 606 + 5 = 666.

It is not a de Polignac number, because 12331006065 - 25 = 12331006033 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7701265 + ... + 7702865.

It is an arithmetic number, because the mean of its divisors is an integer number (260325000).

Almost surely, 212331006065 is an apocalyptic number.

12331006065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12331006065 is an abundant number, since it is smaller than the sum of its proper divisors (12660193935).

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

12331006065 is a wasteful number, since it uses less digits than its factorization.

12331006065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 12331006065 its reverse (56060013321), we get a palindrome (68391019386).

The spelling of 12331006065 in words is "twelve billion, three hundred thirty-one million, six thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 343 441 499 735 1029 1497 1601 1715 2205 2495 3087 3493 4491 4803 5145 7485 8005 10479 11207 14409 15435 17465 22455 24015 24451 31437 33621 52395 56035 72045 73353 78449 100863 122255 157185 168105 171157 220059 235347 366765 392245 504315 513471 549143 706041 798899 855785 1100295 1176735 1540413 1647429 2396697 2567355 2745715 3530205 3994495 4942287 5592293 7190091 7702065 8237145 11983485 16776879 24711435 27961465 35950455 39146051 50330637 83884395 117438153 195730255 251653185 274022357 352314459 587190765 822067071 1370111785 1761572295 2466201213 4110335355 12331006065