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13001310011140 = 225111823319110159
BaseRepresentation
bin1011110100110001101001…
…1101101111111100000100
31201000220122122111222201121
42331030122131233330010
53201003140330324030
643352415214403324
72511212403456013
oct275143235577404
951026578458647
1013001310011140
114162908615530
12155b8a8500544
137340311ba039
1432d3a3dd0a7a
151782d96a347a
hexbd31a76ff04

13001310011140 has 96 divisors (see below), whose sum is σ = 29813431173120. Its totient is φ = 4723209955200.

The previous prime is 13001310011113. The next prime is 13001310011177. The reversal of 13001310011140 is 4111001310031.

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, 1279777381 + ... + 1279787539.

It is an arithmetic number, because the mean of its divisors is an integer number (310556574720).

Almost surely, 213001310011140 is an apocalyptic number.

13001310011140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001310011140 is an abundant number, since it is smaller than the sum of its proper divisors (16812121161980).

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

13001310011140 is a wasteful number, since it uses less digits than its factorization.

13001310011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193 (or 15191 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13001310011140 its reverse (4111001310031), we get a palindrome (17112311321171).

The spelling of 13001310011140 in words is "thirteen trillion, one billion, three hundred ten million, eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1823 3191 3646 6382 7292 9115 10159 12764 15955 18230 20053 20318 31910 35101 36460 40106 40636 50795 63820 70202 80212 100265 101590 111749 140404 175505 200530 203180 223498 351010 401060 446996 558745 702020 1117490 2234980 5817193 11634386 18519857 23268772 29085965 32417369 37039714 58171930 63989123 64834738 74079428 92599285 116343860 127978246 129669476 162086845 185198570 203718427 255956492 319945615 324173690 356591059 370397140 407436854 639891230 648347380 713182118 814873708 1018592135 1279782460 1426364236 1782955295 2037184270 3565910590 4074368540 7131821180 59096863687 118193727374 236387454748 295484318435 590968636870 650065500557 1181937273740 1300131001114 2600262002228 3250327502785 6500655005570 13001310011140