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1321113040 = 245131270301
BaseRepresentation
bin100111010111110…
…1001010111010000
310102001220111101121
41032233221113100
510201201104130
6335032012024
744511163342
oct11657512720
93361814347
101321113040
11618808865
1230a531014
1318091abc0
14c7659292
157aeb0d7a
hex4ebe95d0

1321113040 has 40 divisors (see below), whose sum is σ = 3307866408. Its totient is φ = 487795200.

The previous prime is 1321112953. The next prime is 1321113049. The reversal of 1321113040 is 403111231.

It can be written as a sum of positive squares in 4 ways, for example, as 112021056 + 1209091984 = 10584^2 + 34772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321113049) 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, 634111 + ... + 636190.

Almost surely, 21321113040 is an apocalyptic number.

1321113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321113040 is an abundant number, since it is smaller than the sum of its proper divisors (1986753368).

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

1321113040 is a wasteful number, since it uses less digits than its factorization.

1321113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270327 (or 1270321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1321113040 is about 36347.1187303753. The cubic root of 1321113040 is about 1097.2695475575.

Adding to 1321113040 its reverse (403111231), we get a palindrome (1724224271).

The spelling of 1321113040 in words is "one billion, three hundred twenty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1270301 2540602 5081204 6351505 10162408 12703010 16513913 20324816 25406020 33027826 50812040 66055652 82569565 101624080 132111304 165139130 264222608 330278260 660556520 1321113040