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13002032010 = 2351123581827
BaseRepresentation
bin11000001101111101…
…10100001110001010
31020120010121122212010
430012332310032022
5203112010011020
65550102400350
7640126306602
oct140676641612
936503548763
1013002032010
115572343100
12262a4300b6
1312c2933886
148b4b37c02
15511703de0
hex306fb438a

13002032010 has 48 divisors (see below), whose sum is σ = 34299584928. Its totient is φ = 3152006880.

The previous prime is 13002032003. The next prime is 13002032081. The reversal of 13002032010 is 1023020031.

It is a happy number.

13002032010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1787284 + ... + 1794543.

It is an arithmetic number, because the mean of its divisors is an integer number (714574686).

Almost surely, 213002032010 is an apocalyptic number.

13002032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13002032010 is an abundant number, since it is smaller than the sum of its proper divisors (21297552918).

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

13002032010 is a wasteful number, since it uses less digits than its factorization.

13002032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581859 (or 3581848 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13002032010 its reverse (1023020031), we get a palindrome (14025052041).

The spelling of 13002032010 in words is "thirteen billion, two million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 3581827 7163654 10745481 17909135 21490962 35818270 39400097 53727405 78800194 107454810 118200291 197000485 236400582 394000970 433401067 591001455 866802134 1182002910 1300203201 2167005335 2600406402 4334010670 6501016005 13002032010