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11250111400 = 2352115113687
BaseRepresentation
bin10100111101000111…
…10001001110101000
31002001001001212120121
422132203301032220
5141020012031100
65100200533024
7545534240413
oct123643611650
932031055517
1011250111400
114853438230
12221b781174
1310a39a8968
1478a1b8b7a
1545c9e651a
hex29e8f13a8

11250111400 has 48 divisors (see below), whose sum is σ = 28534379040. Its totient is φ = 4090948800.

The previous prime is 11250111391. The next prime is 11250111421. The reversal of 11250111400 is 411105211.

11250111400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2554644 + ... + 2559043.

It is an arithmetic number, because the mean of its divisors is an integer number (594466230).

Almost surely, 211250111400 is an apocalyptic number.

11250111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11250111400 is an abundant number, since it is smaller than the sum of its proper divisors (17284267640).

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

11250111400 is a wasteful number, since it uses less digits than its factorization.

11250111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113714 (or 5113705 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 11250111400 its reverse (411105211), we get a palindrome (11661216611).

The spelling of 11250111400 in words is "eleven billion, two hundred fifty million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5113687 10227374 20454748 25568435 40909496 51136870 56250557 102273740 112501114 127842175 204547480 225002228 255684350 281252785 450004456 511368700 562505570 1022737400 1125011140 1406263925 2250022280 2812527850 5625055700 11250111400