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10330232130131 = 232960729178747
BaseRepresentation
bin1001011001010011000111…
…0100010000101001010011
31100120120010122020121121212
42112110301310100221103
52323222303411131011
633545350525410335
72114222532213014
oct226246164205123
940516118217555
1010330232130131
113323032802131
1211aa099a099ab
1359c1a1475c14
14279db346300b
1512daa67d008b
hex96531d10a53

10330232130131 has 32 divisors (see below), whose sum is σ = 11174552432640. Its totient is φ = 9520293315456.

The previous prime is 10330232130077. The next prime is 10330232130167. The reversal of 10330232130131 is 13103123203301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10330232130131 is a prime.

It is a super-2 number, since 2×103302321301312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10330232130097 and 10330232130106.

It is not an unprimeable number, because it can be changed into a prime (10330232130431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180998500 + ... + 1181007246.

It is an arithmetic number, because the mean of its divisors is an integer number (349204763520).

Almost surely, 210330232130131 is an apocalyptic number.

10330232130131 is a deficient number, since it is larger than the sum of its proper divisors (844320302509).

10330232130131 is a wasteful number, since it uses less digits than its factorization.

10330232130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10330232130131 its reverse (13103123203301), we get a palindrome (23433355333432).

The spelling of 10330232130131 in words is "ten trillion, three hundred thirty billion, two hundred thirty-two million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 23 29 607 667 2917 8747 13961 17603 67091 84593 201181 253663 404869 1770619 1945639 5309429 5834249 25514999 40724237 51347951 122116867 153973441 586844977 739934971 1181002873 3541389143 15487604393 17018504333 356214901039 449140527397 10330232130131