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11199988900 = 22521925572
BaseRepresentation
bin10100110111001001…
…00100010010100100
31001220112202101102201
422123210210102210
5140414144121100
65051210344244
7544355222602
oct123344442244
931815671381
1011199988900
114828113481
122206a2b084
1310964a9889
1478368c872
154583e536a
hex29b9244a4

11199988900 has 81 divisors (see below), whose sum is σ = 25696590339. Its totient is φ = 4236586560.

The previous prime is 11199988889. The next prime is 11199988963. The reversal of 11199988900 is 988999111.

The square root of 11199988900 is 105830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3850698916 + 7349289984 = 62054^2 + 85728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20107422 + ... + 20107978.

Almost surely, 211199988900 is an apocalyptic number.

11199988900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11199988900 is the 105830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11199988900

11199988900 is an abundant number, since it is smaller than the sum of its proper divisors (14496601439).

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

11199988900 is an equidigital number, since it uses as much as digits as its factorization.

11199988900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 55.

The spelling of 11199988900 in words is "eleven billion, one hundred ninety-nine million, nine hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 557 722 950 1114 1444 1805 1900 2228 2785 3610 5570 7220 9025 10583 11140 13925 18050 21166 27850 36100 42332 52915 55700 105830 201077 211660 264575 310249 402154 529150 620498 804308 1005385 1058300 1240996 1551245 2010770 3102490 4021540 5026925 5894731 6204980 7756225 10053850 11789462 15512450 20107700 23578924 29473655 31024900 58947310 111999889 117894620 147368275 223999778 294736550 447999556 559999445 589473100 1119998890 2239997780 2799997225 5599994450 11199988900