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11213032011000 = 2335325031493279
BaseRepresentation
bin1010001100101011110011…
…0010100011010011111000
31110200221210110222010002220
42203022330302203103320
52432203242143323000
635503110142524040
72235054246330441
oct243127462432370
943627713863086
1011213032011000
113633469279936
1213111b1896620
136344cc642331
142aa9dc3562c8
15146a23ca51a0
hexa32bcca34f8

11213032011000 has 128 divisors (see below), whose sum is σ = 34998660403200. Its totient is φ = 2988945244800.

The previous prime is 11213032010959. The next prime is 11213032011053. The reversal of 11213032011000 is 11023031211.

It is a happy number.

11213032011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 6762361 + ... + 8255639.

It is an arithmetic number, because the mean of its divisors is an integer number (273427034400).

Almost surely, 211213032011000 is an apocalyptic number.

11213032011000 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 11213032011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17499330201600).

11213032011000 is an abundant number, since it is smaller than the sum of its proper divisors (23785628392200).

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

11213032011000 is a wasteful number, since it uses less digits than its factorization.

11213032011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495806 (or 1495792 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11213032011000 its reverse (11023031211), we get a palindrome (11224055042211).

The spelling of 11213032011000 in words is "eleven trillion, two hundred thirteen billion, thirty-two million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2503 3000 5006 7509 10012 12515 15018 20024 25030 30036 37545 50060 60072 62575 75090 100120 125150 150180 187725 250300 300360 312875 375450 500600 625750 750900 938625 1251500 1493279 1501800 1877250 2503000 2986558 3754500 4479837 5973116 7466395 7509000 8959674 11946232 14932790 17919348 22399185 29865580 35838696 37331975 44798370 59731160 74663950 89596740 111995925 149327900 179193480 186659875 223991850 298655800 373319750 447983700 559979625 746639500 895967400 1119959250 1493279000 2239918500 3737677337 4479837000 7475354674 11213032011 14950709348 18688386685 22426064022 29901418696 37376773370 44852128044 56065160055 74753546740 89704256088 93441933425 112130320110 149507093480 186883866850 224260640220 280325800275 373767733700 448521280440 467209667125 560651600550 747535467400 934419334250 1121303201100 1401629001375 1868838668500 2242606402200 2803258002750 3737677337000 5606516005500 11213032011000