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11215381120 = 27529604277
BaseRepresentation
bin10100111000111110…
…10010001010000000
31001221121201101120221
422130133102022000
5140432114143440
65052520312424
7544633111066
oct123437221200
931847641527
1011215381120
114835876919
122210012714
1310997388b8
14785738036
15459935d4a
hex29c7d2280

11215381120 has 64 divisors (see below), whose sum is σ = 27736360200. Its totient is φ = 4331450368.

The previous prime is 11215381069. The next prime is 11215381153. The reversal of 11215381120 is 2118351211.

It can be written as a sum of positive squares in 4 ways, for example, as 6754209856 + 4461171264 = 82184^2 + 66792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283579 + ... + 320698.

Almost surely, 211215381120 is an apocalyptic number.

11215381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11215381120 is an abundant number, since it is smaller than the sum of its proper divisors (16520979080).

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

11215381120 is an equidigital number, since it uses as much as digits as its factorization.

11215381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604325 (or 604313 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 25.

The spelling of 11215381120 in words is "eleven billion, two hundred fifteen million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 604277 1208554 2417108 3021385 4834216 6042770 9668432 12085540 17524033 19336864 24171080 35048066 38673728 48342160 70096132 77347456 87620165 96684320 140192264 175240330 193368640 280384528 350480660 386737280 560769056 700961320 1121538112 1401922640 2243076224 2803845280 5607690560 11215381120