Search a number
-
+
11113311000 = 2335311336767
BaseRepresentation
bin10100101100110011…
…11010101100011000
31001200111122200201010
422112121322230120
5140230001423000
65034432453520
7542253404421
oct122631725430
931614580633
1011113311000
1147931a1050
1221a19aa2a0
13108154ba8c
14775d68648
154509c2d50
hex29667ab18

11113311000 has 128 divisors (see below), whose sum is σ = 37825781760. Its totient is φ = 2694128000.

The previous prime is 11113310987. The next prime is 11113311019. The reversal of 11113311000 is 11331111.

11113311000 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 (12).

It is a zygodrome in base 10.

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, 135384 + ... + 201383.

It is an arithmetic number, because the mean of its divisors is an integer number (295513920).

Almost surely, 211113311000 is an apocalyptic number.

11113311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11113311000 is an abundant number, since it is smaller than the sum of its proper divisors (26712470760).

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

11113311000 is a wasteful number, since it uses less digits than its factorization.

11113311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336802 (or 336788 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11113311000 its reverse (11331111), we get a palindrome (11124642111).

The spelling of 11113311000 in words is "eleven billion, one hundred thirteen million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 336767 673534 1010301 1347068 1683835 2020602 2694136 3367670 3704437 4041204 5051505 6735340 7408874 8082408 8419175 10103010 11113311 13470680 14817748 16838350 18522185 20206020 22226622 25257525 29635496 33676700 37044370 40412040 42095875 44453244 50515050 55566555 67353400 74088740 84191750 88906488 92610925 101030100 111133110 126287625 148177480 168383500 185221850 202060200 222266220 252575250 277832775 336767000 370443700 444532440 463054625 505150500 555665550 740887400 926109250 1010301000 1111331100 1389163875 1852218500 2222662200 2778327750 3704437000 5556655500 11113311000