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13111233002000 = 245371735413391
BaseRepresentation
bin1011111011001011001001…
…1000101011101000010000
31201102102101101000111102022
42332302302120223220100
53204303301122031000
643515114533511012
72522153401461020
oct276626230535020
951372341014368
1013111233002000
1141a5496247521
1215790654a2468
137414cb762cb3
14334830c89a80
1517b0beb38585
hexbecb262ba10

13111233002000 has 160 divisors (see below), whose sum is σ = 36441395887104. Its totient is φ = 4469294784000.

The previous prime is 13111233001991. The next prime is 13111233002029. The reversal of 13111233002000 is 20033211131.

It is a self number, because there is not a number n which added to its sum of digits gives 13111233002000.

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, 284696 + ... + 5128695.

Almost surely, 213111233002000 is an apocalyptic number.

13111233002000 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 13111233002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220697943552).

13111233002000 is an abundant number, since it is smaller than the sum of its proper divisors (23330162885104).

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

13111233002000 is a wasteful number, since it uses less digits than its factorization.

13111233002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413594 (or 5413578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13111233002000 its reverse (20033211131), we get a palindrome (13131266213131).

The spelling of 13111233002000 in words is "thirteen trillion, one hundred eleven billion, two hundred thirty-three million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 173 175 200 250 280 346 350 400 500 560 692 700 865 875 1000 1211 1384 1400 1730 1750 2000 2422 2768 2800 3460 3500 4325 4844 6055 6920 7000 8650 9688 12110 13840 14000 17300 19376 21625 24220 30275 34600 43250 48440 60550 69200 86500 96880 121100 151375 173000 242200 302750 346000 484400 605500 1211000 2422000 5413391 10826782 21653564 27066955 37893737 43307128 54133910 75787474 86614256 108267820 135334775 151574948 189468685 216535640 270669550 303149896 378937370 433071280 541339100 606299792 676673875 757874740 936516643 947343425 1082678200 1353347750 1515749480 1873033286 1894686850 2165356400 2706695500 3031498960 3746066572 3789373700 4682583215 4736717125 5413391000 6555616501 7492133144 7578747400 9365166430 9473434250 10826782000 13111233002 14984266288 15157494800 18730332860 18946868500 23412916075 26222466004 32778082505 37460665720 37893737000 46825832150 52444932008 65556165010 74921331440 75787474000 93651664300 104889864016 117064580375 131112330020 163890412525 187303328600 234129160750 262224660040 327780825050 374606657200 468258321500 524449320080 655561650100 819452062625 936516643000 1311123300200 1638904125250 1873033286000 2622246600400 3277808250500 6555616501000 13111233002000