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11120210000 = 24541765413
BaseRepresentation
bin10100101101101000…
…01111000001010000
31001200222122012100122
422112310033001100
5140233233210000
65035240405412
7542366140214
oct122664170120
931628565318
1011120210000
1147970833a9
1221a4176868
131082ac6023
14776c42944
154513d7085
hex296d0f050

11120210000 has 100 divisors (see below), whose sum is σ = 28507290372. Its totient is φ = 4186368000.

The previous prime is 11120209979. The next prime is 11120210021. The reversal of 11120210000 is 1202111.

It is an interprime number because it is at equal distance from previous prime (11120209979) and next prime (11120210021).

It can be written as a sum of positive squares in 10 ways, for example, as 8351766544 + 2768443456 = 91388^2 + 52616^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11120210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137294 + ... + 202706.

Almost surely, 211120210000 is an apocalyptic number.

11120210000 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 11120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253645186).

11120210000 is an abundant number, since it is smaller than the sum of its proper divisors (17387080372).

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

11120210000 is an equidigital number, since it uses as much as digits as its factorization.

11120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65458 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11120210000 its reverse (1202111), we get a palindrome (11121412111).

The spelling of 11120210000 in words is "eleven billion, one hundred twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 65413 85000 130826 170000 261652 327065 523304 654130 1046608 1112021 1308260 1635325 2224042 2616520 3270650 4448084 5233040 5560105 6541300 8176625 8896168 11120210 13082600 16353250 17792336 22240420 26165200 27800525 32706500 40883125 44480840 55601050 65413000 81766250 88961680 111202100 130826000 139002625 163532500 222404200 278005250 327065000 444808400 556010500 654130000 695013125 1112021000 1390026250 2224042000 2780052500 5560105000 11120210000