Search a number
-
+
13123311515340 = 22351321399310879
BaseRepresentation
bin1011111011111000001001…
…0100100011011011001100
31201110120120010212112211020
42332332002110203123030
53210003020221442330
643524433250154140
72523061615236435
oct276760224433314
951416503775736
1013123311515340
1141aa624254354
12157b476582950
137426a4c57300
143352590a448c
1517b57a217210
hexbef825236cc

13123311515340 has 144 divisors (see below), whose sum is σ = 40075517260800. Its totient is φ = 3207113305344.

The previous prime is 13123311515261. The next prime is 13123311515341. The reversal of 13123311515340 is 4351511332131.

It is not an unprimeable number, because it can be changed into a prime (13123311515341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3245980 + ... + 6064899.

It is an arithmetic number, because the mean of its divisors is an integer number (278302203200).

Almost surely, 213123311515340 is an apocalyptic number.

13123311515340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123311515340 is an abundant number, since it is smaller than the sum of its proper divisors (26952205745460).

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

13123311515340 is a wasteful number, since it uses less digits than its factorization.

13123311515340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311056 (or 9311041 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 13123311515340 its reverse (4351511332131), we get a palindrome (17474822847471).

The spelling of 13123311515340 in words is "thirteen trillion, one hundred twenty-three billion, three hundred eleven million, five hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 169 195 260 278 338 390 417 507 556 676 695 780 834 845 1014 1390 1668 1690 1807 2028 2085 2535 2780 3380 3614 4170 5070 5421 7228 8340 9035 10140 10842 18070 21684 23491 27105 36140 46982 54210 70473 93964 108420 117455 140946 234910 281892 352365 469820 704730 1409460 9310879 18621758 27932637 37243516 46554395 55865274 93108790 111730548 121041427 139663185 186217580 242082854 279326370 363124281 484165708 558652740 605207135 726248562 1210414270 1294212181 1452497124 1573538551 1815621405 2420828540 2588424362 3147077102 3631242810 3882636543 4720615653 5176848724 6294154204 6471060905 7262485620 7765273086 7867692755 9441231306 12942121810 15530546172 15735385510 16824758353 18882462612 19413182715 23603078265 25884243620 31470771020 33649516706 38826365430 47206156530 50474275059 67299033412 77652730860 84123791765 94412313060 100948550118 168247583530 201897100236 218721858589 252371375295 336495167060 437443717178 504742750590 656165575767 874887434356 1009485501180 1093609292945 1312331151534 2187218585890 2624662303068 3280827878835 4374437171780 6561655757670 13123311515340