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13130341024 = 2543127227331
BaseRepresentation
bin11000011101010000…
…10001101010100000
31020220002001102201211
430032220101222200
5203342331403044
610010524435504
7643245025423
oct141650215240
936802042654
1013130341024
11562880a609
1226653a8b94
1313133a9778
148c7bb79ba
1551caeb634
hex30ea11aa0

13130341024 has 96 divisors (see below), whose sum is σ = 26858151936. Its totient is φ = 6314837760.

The previous prime is 13130341009. The next prime is 13130341033. The reversal of 13130341024 is 42014303131.

It is a junction number, because it is equal to n+sod(n) for n = 13130340986 and 13130341004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39668539 + ... + 39668869.

It is an arithmetic number, because the mean of its divisors is an integer number (279772416).

Almost surely, 213130341024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429075968).

13130341024 is an abundant number, since it is smaller than the sum of its proper divisors (13727810912).

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

13130341024 is a wasteful number, since it uses less digits than its factorization.

13130341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13130341024 its reverse (42014303131), we get a palindrome (55144644155).

The spelling of 13130341024 in words is "thirteen billion, one hundred thirty million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 86 127 172 227 254 331 344 454 508 662 688 908 1016 1324 1376 1816 2032 2648 3632 4064 5296 5461 7264 9761 10592 10922 14233 19522 21844 28466 28829 39044 42037 43688 56932 57658 75137 78088 84074 87376 113864 115316 150274 156176 168148 174752 227728 230632 300548 312352 336296 455456 461264 601096 672592 922528 1202192 1239647 1345184 1807591 2404384 2479294 3230891 3615182 4958588 6461782 7230364 9542399 9917176 12923564 14460728 19084798 19834352 25847128 28921456 38169596 39668704 51694256 57842912 76339192 103388512 152678384 305356768 410323157 820646314 1641292628 3282585256 6565170512 13130341024