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11323111331000 = 2353715527104179
BaseRepresentation
bin1010010011000101111000…
…0001110101010010111000
31111002110221002121222001202
42210301132001311102320
52441004213000043000
640025433204433332
72246032153162520
oct244613601652270
944073832558052
1011323111331000
113676117176267
12132a5b30a8848
136419c33c1c41
142b2081ca6680
15149817d19dd5
hexa4c5e0754b8

11323111331000 has 128 divisors (see below), whose sum is σ = 30283475788800. Its totient is φ = 3881922307200.

The previous prime is 11323111330997. The next prime is 11323111331023. The reversal of 11323111331000 is 13311132311.

It is a super-2 number, since 2×113231113310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 108636911 + ... + 108741089.

It is an arithmetic number, because the mean of its divisors is an integer number (236589654600).

Almost surely, 211323111331000 is an apocalyptic number.

11323111331000 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 11323111331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15141737894400).

11323111331000 is an abundant number, since it is smaller than the sum of its proper divisors (18960364457800).

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

11323111331000 is a wasteful number, since it uses less digits than its factorization.

11323111331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119734 (or 119720 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 11323111331000 its reverse (13311132311), we get a palindrome (11336422463311).

The spelling of 11323111331000 in words is "eleven trillion, three hundred twenty-three billion, one hundred eleven million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 15527 31054 62108 77635 104179 108689 124216 155270 208358 217378 310540 388175 416716 434756 520895 543445 621080 729253 776350 833432 869512 1041790 1086890 1458506 1552700 1940875 2083580 2173780 2604475 2717225 2917012 3105400 3646265 3881750 4167160 4347560 5208950 5434450 5834024 7292530 7763500 10417900 10868900 13022375 13586125 14585060 15527000 18231325 20835800 21737800 26044750 27172250 29170120 36462650 52089500 54344500 72925300 91156625 104179000 108689000 145850600 182313250 364626500 729253000 1617587333 3235174666 6470349332 8087936665 11323111331 12940698664 16175873330 22646222662 32351746660 40439683325 45292445324 56615556655 64703493320 80879366650 90584890648 113231113310 161758733300 202198416625 226462226620 283077783275 323517466600 404396833250 452924453240 566155566550 808793666500 1132311133100 1415388916375 1617587333000 2264622266200 2830777832750 5661555665500 11323111331000