Search a number
-
+
11240310000 = 24354374677
BaseRepresentation
bin10100111011111100…
…11000010011110000
31002000100121220120210
422131332120103300
5141010004410000
65055210504120
7545355026043
oct123576302360
932010556523
1011240310000
1148489532a7
122218435040
1310a195660a
14788b86c5a
1545bc0c350
hex29df984f0

11240310000 has 100 divisors (see below), whose sum is σ = 36285316232. Its totient is φ = 2997408000.

The previous prime is 11240309987. The next prime is 11240310047. The reversal of 11240310000 is 1304211.

It is a happy number.

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

It is a super-2 number, since 2×112403100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 157339 + ... + 217338.

Almost surely, 211240310000 is an apocalyptic number.

11240310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240310000 is an abundant number, since it is smaller than the sum of its proper divisors (25045006232).

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

11240310000 is an equidigital number, since it uses as much as digits as its factorization.

11240310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374708 (or 374687 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11240310000 its reverse (1304211), we get a palindrome (11241614211).

The spelling of 11240310000 in words is "eleven billion, two hundred forty million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 374677 749354 1124031 1498708 1873385 2248062 2997416 3746770 4496124 5620155 5994832 7493540 8992248 9366925 11240310 14987080 17984496 18733850 22480620 28100775 29974160 37467700 44961240 46834625 56201550 74935400 89922480 93669250 112403100 140503875 149870800 187338500 224806200 234173125 281007750 374677000 449612400 468346250 562015500 702519375 749354000 936692500 1124031000 1405038750 1873385000 2248062000 2810077500 3746770000 5620155000 11240310000