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11323331560 = 2353113017019
BaseRepresentation
bin10101000101110110…
…00101001111101000
31002020010211211202101
422202323011033220
5141142233102220
65111334143144
7550413505312
oct124273051750
932203754671
1011323331560
1148907a8662
1222401b1ab4
1310b5c040b8
14795bd87b2
1546415b30a
hex2a2ec53e8

11323331560 has 64 divisors (see below), whose sum is σ = 26323315200. Its totient is φ = 4379232000.

The previous prime is 11323331543. The next prime is 11323331573. The reversal of 11323331560 is 6513332311.

11323331560 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 15 ways as a sum of consecutive naturals, for example, 1609731 + ... + 1616749.

It is an arithmetic number, because the mean of its divisors is an integer number (411301800).

Almost surely, 211323331560 is an apocalyptic number.

11323331560 is a gapful number since it is divisible by the number (10) 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 11323331560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161657600).

11323331560 is an abundant number, since it is smaller than the sum of its proper divisors (14999983640).

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

11323331560 is a wasteful number, since it uses less digits than its factorization.

11323331560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 11323331560 its reverse (6513332311), we get a palindrome (17836663871).

The spelling of 11323331560 in words is "eleven billion, three hundred twenty-three million, three hundred thirty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1301 2602 5204 6505 7019 10408 13010 14038 26020 28076 35095 40331 52040 56152 70190 80662 140380 161324 201655 217589 280760 322648 403310 435178 806620 870356 1087945 1613240 1740712 2175890 4351780 8703560 9131719 18263438 36526876 45658595 73053752 91317190 182634380 283083289 365268760 566166578 1132333156 1415416445 2264666312 2830832890 5661665780 11323331560