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13123220240 = 2451312618481
BaseRepresentation
bin11000011100011010…
…00111001100010000
31020212120122122212002
430032031013030100
5203334021021430
610010112053132
7643130350214
oct141615071420
936776578762
1013123220240
115624796669
122662b341a8
131311a855a0
148c6c82944
1551c191845
hex30e347310

13123220240 has 40 divisors (see below), whose sum is σ = 32858527128. Its totient is φ = 4845496320.

The previous prime is 13123220191. The next prime is 13123220251. The reversal of 13123220240 is 4202232131.

It can be written as a sum of positive squares in 4 ways, for example, as 46840336 + 13076379904 = 6844^2 + 114352^2 .

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6308201 + ... + 6310280.

Almost surely, 213123220240 is an apocalyptic number.

13123220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123220240 is an abundant number, since it is smaller than the sum of its proper divisors (19735306888).

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

13123220240 is a wasteful number, since it uses less digits than its factorization.

13123220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12618507 (or 12618501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13123220240 its reverse (4202232131), we get a palindrome (17325452371).

The spelling of 13123220240 in words is "thirteen billion, one hundred twenty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 12618481 25236962 50473924 63092405 100947848 126184810 164040253 201895696 252369620 328080506 504739240 656161012 820201265 1009478480 1312322024 1640402530 2624644048 3280805060 6561610120 13123220240