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11010911000 = 235312798609
BaseRepresentation
bin10100100000100110…
…10010101100011000
31001102100222020022112
422100103102230120
5140022243123000
65020334011452
7536601125225
oct122023225430
931370866275
1011010911000
114740410451
122173646b88
131066277a6b
1476651094c
154469e7235
hex2904d2b18

11010911000 has 64 divisors (see below), whose sum is σ = 25788672000. Its totient is φ = 4400409600.

The previous prime is 11010910997. The next prime is 11010911017. The reversal of 11010911000 is 11901011.

It is a happy number.

It is a super-2 number, since 2×110109110002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1274696 + ... + 1283304.

It is an arithmetic number, because the mean of its divisors is an integer number (402948000).

Almost surely, 211010911000 is an apocalyptic number.

11010911000 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 11010911000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894336000).

11010911000 is an abundant number, since it is smaller than the sum of its proper divisors (14777761000).

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

11010911000 is a wasteful number, since it uses less digits than its factorization.

11010911000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 11010911000 in words is "eleven billion, ten million, nine hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1279 2558 5116 6395 8609 10232 12790 17218 25580 31975 34436 43045 51160 63950 68872 86090 127900 159875 172180 215225 255800 319750 344360 430450 639500 860900 1076125 1279000 1721800 2152250 4304500 8609000 11010911 22021822 44043644 55054555 88087288 110109110 220218220 275272775 440436440 550545550 1101091100 1376363875 2202182200 2752727750 5505455500 11010911000