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13512124322040 = 23351072334516507
BaseRepresentation
bin1100010010100000100101…
…0111101101000011111000
31202211202011011202121122110
43010220021113231003320
53232340312311301130
644423214554052320
72563135015456521
oct304501127550370
952752134677573
1013512124322040
11433a506a12853
1216228a711a0a0
13770259948c36
14349dc1589848
151867348e6ab0
hexc4a095ed0f8

13512124322040 has 128 divisors (see below), whose sum is σ = 41090828463360. Its totient is φ = 3554237297664.

The previous prime is 13512124322017. The next prime is 13512124322077. The reversal of 13512124322040 is 4022342121531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13512124321989 and 13512124322007.

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, 733467 + ... + 5249973.

It is an arithmetic number, because the mean of its divisors is an integer number (321022097370).

Almost surely, 213512124322040 is an apocalyptic number.

13512124322040 is a gapful number since it is divisible by the number (10) 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 13512124322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545414231680).

13512124322040 is an abundant number, since it is smaller than the sum of its proper divisors (27578704141320).

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

13512124322040 is a wasteful number, since it uses less digits than its factorization.

13512124322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516861 (or 4516857 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13512124322040 its reverse (4022342121531), we get a palindrome (17534466443571).

The spelling of 13512124322040 in words is "thirteen trillion, five hundred twelve billion, one hundred twenty-four million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 233 321 428 466 535 642 699 856 932 1070 1165 1284 1398 1605 1864 2140 2330 2568 2796 3210 3495 4280 4660 5592 6420 6990 9320 12840 13980 24931 27960 49862 74793 99724 124655 149586 199448 249310 299172 373965 498620 598344 747930 997240 1495860 2991720 4516507 9033014 13549521 18066028 22582535 27099042 36132056 45165070 54198084 67747605 90330140 108396168 135495210 180660280 270990420 483266249 541980840 966532498 1052346131 1449798747 1933064996 2104692262 2416331245 2899597494 3157038393 3866129992 4209384524 4832662490 5261730655 5799194988 6314076786 7248993735 8418769048 9665324980 10523461310 11598389976 12628153572 14497987470 15785191965 19330649960 21046922620 25256307144 28995974940 31570383930 42093845240 57991949880 63140767860 112601036017 126281535720 225202072034 337803108051 450404144068 563005180085 675606216102 900808288136 1126010360170 1351212432204 1689015540255 2252020720340 2702424864408 3378031080510 4504041440680 6756062161020 13512124322040