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12382713315 = 32574313697
BaseRepresentation
bin10111000100001000…
…10011010111100011
31011221222021000022200
423202010103113203
5200324433311230
65404420304243
7615566220000
oct134204232743
934858230280
1012382713315
11528479a875
122496b42083
1312245329cb
148567a28a7
154c716c160
hex2e21135e3

12382713315 has 120 divisors (see below), whose sum is σ = 25853812608. Its totient is φ = 5476584960.

The previous prime is 12382713313. The next prime is 12382713319. The reversal of 12382713315 is 51331728321.

It is a happy number.

It is not a de Polignac number, because 12382713315 - 21 = 12382713313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12382713315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12382713313) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3347547 + ... + 3351243.

Almost surely, 212382713315 is an apocalyptic number.

12382713315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12382713315 is an abundant number, since it is smaller than the sum of its proper divisors (13471099293).

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

12382713315 is an equidigital number, since it uses as much as digits as its factorization.

12382713315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3743 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 12382713315 in words is "twelve billion, three hundred eighty-two million, seven hundred thirteen thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 343 441 465 651 735 1029 1085 1395 1519 1715 1953 2205 2401 3087 3255 3697 4557 5145 7203 7595 9765 10633 11091 12005 13671 15435 18485 21609 22785 25879 31899 33273 36015 53165 55455 68355 74431 77637 95697 108045 114607 129395 159495 166365 181153 223293 232911 343821 372155 388185 478485 543459 573035 669879 802249 905765 1031463 1116465 1164555 1268071 1630377 1719105 2406747 2717295 3349395 3804213 4011245 5157315 5615743 6340355 7220241 8151885 8876497 11412639 12033735 16847229 19021065 26629491 28078715 36101205 39310201 44382485 50541687 57063195 79888473 84236145 117930603 133147455 196551005 252708435 275171407 353791809 399442365 589653015 825514221 1375857035 1768959045 2476542663 4127571105 12382713315