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15312311413212 = 223111034337259681
BaseRepresentation
bin1101111011010010110011…
…1000011110100111011100
32000012211202022100222221210
43132310230320132213130
54001334103210210322
652322213451024420
73140164231332102
oct336645470364734
960184668328853
1015312311413212
114973a07668840
12187376613b110
13870c38878878
143ad196b39c72
151b8495aa970c
hexded2ce1e9dc

15312311413212 has 96 divisors (see below), whose sum is σ = 39364434031104. Its totient is φ = 4593967718400.

The previous prime is 15312311413187. The next prime is 15312311413237. The reversal of 15312311413212 is 21231411321351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15312311413187) and next prime (15312311413237).

It is a self number, because there is not a number n which added to its sum of digits gives 15312311413212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58836012 + ... + 59095692.

It is an arithmetic number, because the mean of its divisors is an integer number (410046187824).

Almost surely, 215312311413212 is an apocalyptic number.

15312311413212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15312311413212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682217015552).

15312311413212 is an abundant number, since it is smaller than the sum of its proper divisors (24052122617892).

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

15312311413212 is a wasteful number, since it uses less digits than its factorization.

15312311413212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264139 (or 264137 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

Adding to 15312311413212 its reverse (21231411321351), we get a palindrome (36543722734563).

The spelling of 15312311413212 in words is "fifteen trillion, three hundred twelve billion, three hundred eleven million, four hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4337 4532 6798 8674 13011 13596 17348 26022 47707 52044 95414 143121 190828 259681 286242 446711 519362 572484 779043 893422 1038724 1340133 1558086 1786844 2680266 2856491 3116172 4913821 5360532 5712982 8569473 9827642 11425964 14741463 17138946 19655284 26747143 29482926 34277892 53494286 58965852 80241429 106988572 160482858 294218573 320965716 588437146 882655719 1126236497 1176874292 1765311438 2252472994 3378709491 3530622876 4504945988 6757418982 12388601467 13514837964 24777202934 37165804401 49554405868 74331608802 116002359191 148663217604 232004718382 348007077573 464009436764 696014155146 1276025951101 1392028310292 2552051902202 3828077853303 5104103804404 7656155706606 15312311413212