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11229199360 = 21052718093
BaseRepresentation
bin10100111010100111…
…11111110000000000
31001222120201102122121
422131103333300000
5140444133334420
65054132414024
7545161422361
oct123523776000
931876642577
1011229199360
114842654755
122214777314
13109c566382
147874d3b68
1545ac652aa
hex29d4ffc00

11229199360 has 88 divisors (see below), whose sum is σ = 27039658176. Its totient is φ = 4474552320.

The previous prime is 11229199343. The next prime is 11229199361. The reversal of 11229199360 is 6399192211.

11229199360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11229199361) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1383474 + ... + 1391566.

Almost surely, 211229199360 is an apocalyptic number.

11229199360 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 11229199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519829088).

11229199360 is an abundant number, since it is smaller than the sum of its proper divisors (15810458816).

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

11229199360 is an equidigital number, since it uses as much as digits as its factorization.

11229199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 43.

The spelling of 11229199360 in words is "eleven billion, two hundred twenty-nine million, one hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 271 320 512 542 640 1024 1084 1280 1355 2168 2560 2710 4336 5120 5420 8093 8672 10840 16186 17344 21680 32372 34688 40465 43360 64744 69376 80930 86720 129488 138752 161860 173440 258976 277504 323720 346880 517952 647440 693760 1035904 1294880 1387520 2071808 2193203 2589760 4143616 4386406 5179520 8287232 8772812 10359040 10966015 17545624 20718080 21932030 35091248 41436160 43864060 70182496 87728120 140364992 175456240 280729984 350912480 561459968 701824960 1122919936 1403649920 2245839872 2807299840 5614599680 11229199360