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11331100000 = 25551110301
BaseRepresentation
bin10101000110110001…
…01101110101100000
31002020200110112001101
422203120231311200
5141201230200000
65112212444144
7550536521653
oct124330556540
932220415041
1011331100000
114895124160
122242919654
1310b76c3ccc
14796c5b89a
15464b92e6a
hex2a362dd60

11331100000 has 144 divisors (see below), whose sum is σ = 30421146672. Its totient is φ = 4120000000.

The previous prime is 11331099959. The next prime is 11331100007. The reversal of 11331100000 is 113311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11331100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094850 + ... + 1105150.

It is an arithmetic number, because the mean of its divisors is an integer number (211257963).

Almost surely, 211331100000 is an apocalyptic number.

11331100000 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 11331100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210573336).

11331100000 is an abundant number, since it is smaller than the sum of its proper divisors (19090046672).

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

11331100000 is an equidigital number, since it uses as much as digits as its factorization.

11331100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10347 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11331100000 its reverse (113311), we get a palindrome (11331213311).

11331100000 divided by its reverse (113311) gives a 5-th power (100000 = 105).

It can be divided in two parts, 113 and 31100000, that added together give a palindrome (31100113).

The spelling of 11331100000 in words is "eleven billion, three hundred thirty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 10301 11000 12500 13750 20000 20602 22000 25000 27500 34375 41204 44000 50000 51505 55000 68750 82408 100000 103010 110000 113311 137500 164816 206020 220000 226622 257525 275000 329632 412040 453244 515050 550000 566555 824080 906488 1030100 1100000 1133110 1287625 1648160 1812976 2060200 2266220 2575250 2832775 3625952 4120400 4532440 5150500 5665550 6438125 8240800 9064880 10301000 11331100 12876250 14163875 18129760 20602000 22662200 25752500 28327750 32190625 41204000 45324400 51505000 56655500 64381250 70819375 90648800 103010000 113311000 128762500 141638750 206020000 226622000 257525000 283277500 354096875 453244000 515050000 566555000 708193750 1030100000 1133110000 1416387500 2266220000 2832775000 5665550000 11331100000