Search a number
-
+
11131533400 = 2352134281359
BaseRepresentation
bin10100101110111110…
…11011100001011000
31001201202221111010211
422113133123201120
5140244133032100
65040323220504
7542564321101
oct122737334130
931652844124
1011131533400
1147a2507889
1221a7b17734
13108525c070
1477854d3a8
154523c21ba
hex2977db858

11131533400 has 48 divisors (see below), whose sum is σ = 27871653600. Its totient is φ = 4110103680.

The previous prime is 11131533379. The next prime is 11131533433. The reversal of 11131533400 is 433513111.

It is a super-2 number, since 2×111315334002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2138080 + ... + 2143279.

It is an arithmetic number, because the mean of its divisors is an integer number (580659450).

Almost surely, 211131533400 is an apocalyptic number.

11131533400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131533400 is an abundant number, since it is smaller than the sum of its proper divisors (16740120200).

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

11131533400 is a wasteful number, since it uses less digits than its factorization.

11131533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281388 (or 4281379 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 11131533400 in words is "eleven billion, one hundred thirty-one million, five hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4281359 8562718 17125436 21406795 34250872 42813590 55657667 85627180 107033975 111315334 171254360 214067950 222630668 278288335 428135900 445261336 556576670 856271800 1113153340 1391441675 2226306680 2782883350 5565766700 11131533400