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11019316200 = 23352181101467
BaseRepresentation
bin10100100001100110…
…10110101111101000
31001102221210021002020
422100303112233220
5140031421104300
65021234104440
7540032433204
oct122063265750
931387707066
1011019316200
1147451313a2
12217641b120
131067c2b759
1476769bb04
154476078a0
hex290cd6be8

11019316200 has 96 divisors (see below), whose sum is σ = 34348947360. Its totient is φ = 2922220800.

The previous prime is 11019316193. The next prime is 11019316277. The reversal of 11019316200 is 261391011.

11019316200 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 (24).

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 23 ways as a sum of consecutive naturals, for example, 57867 + ... + 159333.

It is an arithmetic number, because the mean of its divisors is an integer number (357801535).

Almost surely, 211019316200 is an apocalyptic number.

11019316200 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 11019316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174473680).

11019316200 is an abundant number, since it is smaller than the sum of its proper divisors (23329631160).

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

11019316200 is a wasteful number, since it uses less digits than its factorization.

11019316200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101667 (or 101658 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 11019316200 in words is "eleven billion, nineteen million, three hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 181 200 300 362 543 600 724 905 1086 1448 1810 2172 2715 3620 4344 4525 5430 7240 9050 10860 13575 18100 21720 27150 36200 54300 101467 108600 202934 304401 405868 507335 608802 811736 1014670 1217604 1522005 2029340 2435208 2536675 3044010 4058680 5073350 6088020 7610025 10146700 12176040 15220050 18365527 20293400 30440100 36731054 55096581 60880200 73462108 91827635 110193162 146924216 183655270 220386324 275482905 367310540 440772648 459138175 550965810 734621080 918276350 1101931620 1377414525 1836552700 2203863240 2754829050 3673105400 5509658100 11019316200