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13321101112000 = 265311151376149
BaseRepresentation
bin1100000111011000111101…
…1111111111001011000000
31202011111002102220002222021
43001312033133333023000
53221223103341041000
644155343535451224
72543263206125023
oct301661737771300
952144072802867
1013321101112000
1142764a132a830
1215b1875986b14
137582363417c6
14340a5d79b1ba
151817a45b711a
hexc1d8f7ff2c0

13321101112000 has 112 divisors (see below), whose sum is σ = 35988771405600. Its totient is φ = 4844036736000.

The previous prime is 13321101111959. The next prime is 13321101112001. The reversal of 13321101112000 is 21110112331.

It is a happy number.

It is a super-2 number, since 2×133211011120002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13321101112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75600075 + ... + 75776074.

Almost surely, 213321101112000 is an apocalyptic number.

13321101112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321101112000 is an abundant number, since it is smaller than the sum of its proper divisors (22667670293600).

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

13321101112000 is a wasteful number, since it uses less digits than its factorization.

13321101112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151376187 (or 151376167 counting only the distinct ones).

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

Adding to 13321101112000 its reverse (21110112331), we get a palindrome (13342211224331).

The spelling of 13321101112000 in words is "thirteen trillion, three hundred twenty-one billion, one hundred one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 151376149 302752298 605504596 756880745 1211009192 1513761490 1665137639 2422018384 3027522980 3330275278 3784403725 4844036768 6055045960 6660550556 7568807450 8325688195 9688073536 12110091920 13321101112 15137614900 16651376390 18922018625 24220183840 26642202224 30275229800 33302752780 37844037250 41628440975 48440367680 53284404448 60550459600 66605505560 75688074500 83256881950 106568808896 121100919200 133211011120 151376149000 166513763900 208142204875 242201838400 266422022240 302752298000 333027527800 416284409750 532844044480 605504596000 666055055600 832568819500 1211009192000 1332110111200 1665137639000 2664220222400 3330275278000 6660550556000 13321101112000