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11221041040 = 2451120536211
BaseRepresentation
bin10100111001101001…
…10111111110010000
31001222000100221112121
422130310313332100
5140440041303130
65053241504024
7545032163236
oct123464677620
931860327477
1011221041040
114838a92240
122211aa2014
13109a96ab71
147863ac956
1545a1a2d7a
hex29cd37f90

11221041040 has 80 divisors (see below), whose sum is σ = 28479087936. Its totient is φ = 4077734400.

The previous prime is 11221041031. The next prime is 11221041107. The reversal of 11221041040 is 4014012211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803535 + ... + 1809745.

Almost surely, 211221041040 is an apocalyptic number.

11221041040 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 11221041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239543968).

11221041040 is an abundant number, since it is smaller than the sum of its proper divisors (17258046896).

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

11221041040 is a wasteful number, since it uses less digits than its factorization.

11221041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11221041040 its reverse (4014012211), we get a palindrome (15235053251).

The spelling of 11221041040 in words is "eleven billion, two hundred twenty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2053 4106 6211 8212 10265 12422 16424 20530 22583 24844 31055 32848 41060 45166 49688 62110 68321 82120 90332 99376 112915 124220 136642 164240 180664 225830 248440 273284 341605 361328 451660 496880 546568 683210 903320 1093136 1366420 1806640 2732840 5465680 12751183 25502366 51004732 63755915 102009464 127511830 140263013 204018928 255023660 280526026 510047320 561052052 701315065 1020094640 1122104104 1402630130 2244208208 2805260260 5610520520 11221041040