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11240341013000 = 2353113173223499
BaseRepresentation
bin1010001110010001100010…
…0010001000001000001000
31110210120021200200011012102
42203210120202020020020
52433130204244404000
635523424045332532
72240042062115201
oct243443042101010
943716250604172
1011240341013000
113644002515280
121316553567148
13636c62353208
142ac06d2325a8
151475c15263d5
hexa3918888208

11240341013000 has 128 divisors (see below), whose sum is σ = 28784049840000. Its totient is φ = 4074501472000.

The previous prime is 11240341012991. The next prime is 11240341013047. The reversal of 11240341013000 is 31014304211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875251 + ... + 5098749.

It is an arithmetic number, because the mean of its divisors is an integer number (224875389375).

Almost surely, 211240341013000 is an apocalyptic number.

11240341013000 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 11240341013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392024920000).

11240341013000 is an abundant number, since it is smaller than the sum of its proper divisors (17543708827000).

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

11240341013000 is a wasteful number, since it uses less digits than its factorization.

11240341013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223848 (or 3223834 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11240341013000 its reverse (31014304211), we get a palindrome (11271355317211).

The spelling of 11240341013000 in words is "eleven trillion, two hundred forty billion, three hundred forty-one million, thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 317 440 500 550 634 1000 1100 1268 1375 1585 2200 2536 2750 3170 3487 5500 6340 6974 7925 11000 12680 13948 15850 17435 27896 31700 34870 39625 63400 69740 79250 87175 139480 158500 174350 317000 348700 435875 697400 871750 1743500 3223499 3487000 6446998 12893996 16117495 25787992 32234990 35458489 64469980 70916978 80587475 128939960 141833956 161174950 177292445 283667912 322349900 354584890 402937375 644699800 709169780 805874750 886462225 1021849183 1418339560 1611749500 1772924450 2043698366 3223499000 3545848900 4087396732 4432311125 5109245915 7091697800 8174793464 8864622250 10218491830 11240341013 17729244500 20436983660 22480682026 25546229575 35458489000 40873967320 44961364052 51092459150 56201705065 89922728104 102184918300 112403410130 127731147875 204369836600 224806820260 255462295750 281008525325 449613640520 510924591500 562017050650 1021849183000 1124034101300 1405042626625 2248068202600 2810085253250 5620170506500 11240341013000