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11100113312 = 2529101118429
BaseRepresentation
bin10100101011001111…
…00100100110100000
31001122120211011212212
422111213210212200
5140213112111222
65033241541252
7542033256251
oct122547444640
931576734785
1011100113312
1147867a7472
1221994a4828
13107b8aa8b2
147742d0b28
1544e7676e2
hex2959e49a0

11100113312 has 48 divisors (see below), whose sum is σ = 22830935400. Its totient is φ = 5305574400.

The previous prime is 11100113287. The next prime is 11100113317. The reversal of 11100113312 is 21331100111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10684116496 + 415996816 = 103364^2 + 20396^2 .

It is not an unprimeable number, because it can be changed into a prime (11100113317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34514 + ... + 152942.

Almost surely, 211100113312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415467700).

11100113312 is an abundant number, since it is smaller than the sum of its proper divisors (11730822088).

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

11100113312 is a wasteful number, since it uses less digits than its factorization.

11100113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118569 (or 118561 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11100113312 its reverse (21331100111), we get a palindrome (32431213423).

The spelling of 11100113312 in words is "eleven billion, one hundred million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 101 116 202 232 404 464 808 928 1616 2929 3232 5858 11716 23432 46864 93728 118429 236858 473716 947432 1894864 3434441 3789728 6868882 11961329 13737764 23922658 27475528 47845316 54951056 95690632 109902112 191381264 346878541 382762528 693757082 1387514164 2775028328 5550056656 11100113312