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1321113440 = 25574311113
BaseRepresentation
bin100111010111110…
…1001011101100000
310102001220111221102
41032233221131200
510201201112230
6335032013532
744511164453
oct11657513540
93361814842
101321113440
11618809099
1230a5312a8
1318091b13a
14c765949a
157aeb1045
hex4ebe9760

1321113440 has 48 divisors (see below), whose sum is σ = 3125612448. Its totient is φ = 527686656.

The previous prime is 1321113421. The next prime is 1321113449. The reversal of 1321113440 is 443111231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321113449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 113324 + ... + 124436.

It is an arithmetic number, because the mean of its divisors is an integer number (65116926).

Almost surely, 21321113440 is an apocalyptic number.

1321113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321113440 is an abundant number, since it is smaller than the sum of its proper divisors (1804499008).

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

1321113440 is a wasteful number, since it uses less digits than its factorization.

1321113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1321113440 is about 36347.1242328743. The cubic root of 1321113440 is about 1097.2696582994.

Adding to 1321113440 its reverse (443111231), we get a palindrome (1764224671).

The spelling of 1321113440 in words is "one billion, three hundred twenty-one million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 743 1486 2972 3715 5944 7430 11113 11888 14860 22226 23776 29720 44452 55565 59440 88904 111130 118880 177808 222260 355616 444520 889040 1778080 8256959 16513918 33027836 41284795 66055672 82569590 132111344 165139180 264222688 330278360 660556720 1321113440