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12717105324 = 22371123140361
BaseRepresentation
bin10111101011111111…
…11010000010101100
31012211021110212220220
423311333322002230
5202021034332244
65501523411340
7630066416550
oct136577720254
935737425826
1012717105324
115436524500
12256ab23b50
1312788b28c1
14888d69860
154e66c1319
hex2f5ffa0ac

12717105324 has 144 divisors (see below), whose sum is σ = 38478870528. Its totient is φ = 3196512000.

The previous prime is 12717105311. The next prime is 12717105337. The reversal of 12717105324 is 42350171721.

It is an interprime number because it is at equal distance from previous prime (12717105311) and next prime (12717105337).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294904 + ... + 335264.

Almost surely, 212717105324 is an apocalyptic number.

12717105324 is a gapful number since it is divisible by the number (14) 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 12717105324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19239435264).

12717105324 is an abundant number, since it is smaller than the sum of its proper divisors (25761765204).

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

12717105324 is a wasteful number, since it uses less digits than its factorization.

12717105324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40428 (or 40415 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 12717105324 in words is "twelve billion, seven hundred seventeen million, one hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 341 363 372 434 462 484 651 682 726 847 868 924 1023 1302 1364 1452 1694 2046 2387 2541 2604 3388 3751 4092 4774 5082 7161 7502 9548 10164 11253 14322 15004 22506 26257 28644 40361 45012 52514 78771 80722 105028 121083 157542 161444 242166 282527 315084 443971 484332 565054 847581 887942 1130108 1251191 1331913 1695162 1775884 2502382 2663826 3107797 3390324 3753573 4883681 5004764 5327652 6215594 7507146 8758337 9323391 9767362 12431188 13763101 14651043 15014292 17516674 18646782 19534724 26275011 27526202 29302086 34185767 35033348 37293564 41289303 52550022 55052404 58604172 68371534 82578606 96341707 102557301 105100044 136743068 151394111 165157212 192683414 205114602 289025121 302788222 385366828 410229204 454182333 578050242 605576444 908364666 1059758777 1156100484 1816729332 2119517554 3179276331 4239035108 6358552662 12717105324