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11500141324 = 22719191113177
BaseRepresentation
bin10101011010111011…
…00011101100001100
31002200110112201011011
422231131203230030
5142023014010244
65141051535004
7554661405550
oct125535435414
932613481134
1011500141324
114971591431
12228b45a464
13111372bb69
147b14a1860
15474934434
hex2ad763b0c

11500141324 has 48 divisors (see below), whose sum is σ = 24337797120. Its totient is φ = 4644743040.

The previous prime is 11500141309. The next prime is 11500141333. The reversal of 11500141324 is 42314100511.

It is a junction number, because it is equal to n+sod(n) for n = 11500141295 and 11500141304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45024 + ... + 158200.

It is an arithmetic number, because the mean of its divisors is an integer number (507037440).

Almost surely, 211500141324 is an apocalyptic number.

11500141324 is a gapful number since it is divisible by the number (14) 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 11500141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168898560).

11500141324 is an abundant number, since it is smaller than the sum of its proper divisors (12837655796).

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

11500141324 is a wasteful number, since it uses less digits than its factorization.

11500141324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113398 (or 113396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11500141324 its reverse (42314100511), we get a palindrome (53814241835).

The spelling of 11500141324 in words is "eleven billion, five hundred million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 191 266 382 532 764 1337 2674 3629 5348 7258 14516 25403 50806 101612 113177 226354 452708 792239 1584478 2150363 3168956 4300726 8601452 15052541 21616807 30105082 43233614 60210164 86467228 151317649 302635298 410719333 605270596 821438666 1642877332 2875035331 5750070662 11500141324