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11000423220 = 22351375632377
BaseRepresentation
bin10100011111010110…
…10010001100110100
31001101122020101210020
422033223102030310
5140012102020340
65015321125140
7536413024503
oct121753221464
931348211706
1011000423220
1147354a7866
1221700297b0
131064045187
14764d8083a
15445b249d0
hex28fad2334

11000423220 has 96 divisors (see below), whose sum is σ = 31094195328. Its totient is φ = 2905638912.

The previous prime is 11000423219. The next prime is 11000423263. The reversal of 11000423220 is 2232400011.

11000423220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110004232202 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11000423220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4626672 + ... + 4629048.

It is an arithmetic number, because the mean of its divisors is an integer number (323897868).

Almost surely, 211000423220 is an apocalyptic number.

11000423220 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 11000423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547097664).

11000423220 is an abundant number, since it is smaller than the sum of its proper divisors (20093772108).

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

11000423220 is a wasteful number, since it uses less digits than its factorization.

11000423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11000423220 its reverse (2232400011), we get a palindrome (13232823231).

The spelling of 11000423220 in words is "eleven billion, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 563 685 822 1126 1370 1644 1689 2055 2252 2377 2740 2815 3378 4110 4754 5630 6756 7131 8220 8445 9508 11260 11885 14262 16890 23770 28524 33780 35655 47540 71310 77131 142620 154262 231393 308524 325649 385655 462786 651298 771310 925572 976947 1156965 1302596 1338251 1542620 1628245 1953894 2313930 2676502 3256490 3907788 4014753 4627860 4884735 5353004 6512980 6691255 8029506 9769470 13382510 16059012 19538940 20073765 26765020 40147530 80295060 183340387 366680774 550021161 733361548 916701935 1100042322 1833403870 2200084644 2750105805 3666807740 5500211610 11000423220