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13102314513240 = 23354313119383269
BaseRepresentation
bin1011111010101001111011…
…0011010110001101011000
31201101120100211022022210210
42332222132303112031120
53204132020003410430
643511041543411120
72521416365536041
oct276523663261530
951346324268723
1013102314513240
1141a1729a69957
121577396753aa0
13740709b51c04
143342266118c8
1517ac4bbad2b0
hexbea9ecd6358

13102314513240 has 128 divisors (see below), whose sum is σ = 40528091577600. Its totient is φ = 3386644584960.

The previous prime is 13102314513229. The next prime is 13102314513247. The reversal of 13102314513240 is 4231541320131.

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 = 13102314513198 and 13102314513207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102314513247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9015675 + ... + 10367594.

It is an arithmetic number, because the mean of its divisors is an integer number (316625715450).

Almost surely, 213102314513240 is an apocalyptic number.

13102314513240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102314513240 is an abundant number, since it is smaller than the sum of its proper divisors (27425777064360).

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

13102314513240 is a wasteful number, since it uses less digits than its factorization.

13102314513240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383457 (or 19383453 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13102314513240 its reverse (4231541320131), we get a palindrome (17333855833371).

The spelling of 13102314513240 in words is "thirteen trillion, one hundred two billion, three hundred fourteen million, five hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 131 172 215 258 262 344 393 430 516 524 645 655 786 860 1032 1048 1290 1310 1572 1720 1965 2580 2620 3144 3930 5160 5240 5633 7860 11266 15720 16899 22532 28165 33798 45064 56330 67596 84495 112660 135192 168990 225320 337980 675960 19383269 38766538 58149807 77533076 96916345 116299614 155066152 193832690 232599228 290749035 387665380 465198456 581498070 775330760 833480567 1162996140 1666961134 2325992280 2500441701 2539208239 3333922268 4167402835 5000883402 5078416478 6667844536 7617624717 8334805670 10001766804 10156832956 12502208505 12696041195 15235249434 16669611340 20003533608 20313665912 25004417010 25392082390 30470498868 33339222680 38088123585 50008834020 50784164780 60940997736 76176247170 100017668040 101568329560 109185954277 152352494340 218371908554 304704988680 327557862831 436743817108 545929771385 655115725662 873487634216 1091859542770 1310231451324 1637789314155 2183719085540 2620462902648 3275578628310 4367438171080 6551157256620 13102314513240