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13122014240 = 25582012589
BaseRepresentation
bin11000011100010001…
…00000110000100000
31020212111101101112102
430032020200300200
5203333213423430
610010030145532
7643114165166
oct141610406040
936774341472
1013122014240
115624042575
1226626522a8
13131175268a
148c6a4b236
1551c004345
hex30e220c20

13122014240 has 24 divisors (see below), whose sum is σ = 31000759020. Its totient is φ = 5248805632.

The previous prime is 13122014237. The next prime is 13122014249. The reversal of 13122014240 is 4241022131.

It can be written as a sum of positive squares in 2 ways, for example, as 10560439696 + 2561574544 = 102764^2 + 50612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13122014249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41006135 + ... + 41006454.

Almost surely, 213122014240 is an apocalyptic number.

13122014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122014240 is an abundant number, since it is smaller than the sum of its proper divisors (17878744780).

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

13122014240 is an equidigital number, since it uses as much as digits as its factorization.

13122014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82012604 (or 82012596 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13122014240 its reverse (4241022131), we get a palindrome (17363036371).

The spelling of 13122014240 in words is "thirteen billion, one hundred twenty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 82012589 164025178 328050356 410062945 656100712 820125890 1312201424 1640251780 2624402848 3280503560 6561007120 13122014240