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13124054160 = 243457241333
BaseRepresentation
bin11000011100100000…
…10010110010010000
31020212122020000210000
430032100102302100
5203334224213120
610010142010000
7643140422400
oct141620226220
936778200700
1013124054160
115625206158
122663276900
131311cb8029
148c701c800
1551c2a8990
hex30e412c90

13124054160 has 300 divisors, whose sum is σ = 53024991228. Its totient is φ = 2999711232.

The previous prime is 13124054159. The next prime is 13124054161. The reversal of 13124054160 is 6145042131.

It is a happy number.

13124054160 is a `hidden beast` number, since 1 + 3 + 1 + 240 + 5 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13124054159) and next prime (13124054161).

It can be written as a sum of positive squares in 2 ways, for example, as 9218304144 + 3905750016 = 96012^2 + 62496^2 .

It is a super-2 number, since 2×131240541602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13124054161) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 296854 + ... + 338186.

Almost surely, 213124054160 is an apocalyptic number.

13124054160 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 13124054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512495614).

13124054160 is an abundant number, since it is smaller than the sum of its proper divisors (39900937068).

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

13124054160 is a wasteful number, since it uses less digits than its factorization.

13124054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41372 (or 41350 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13124054160 its reverse (6145042131), we get a palindrome (19269096291).

The spelling of 13124054160 in words is "thirteen billion, one hundred twenty-four million, fifty-four thousand, one hundred sixty".