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10430432010 = 2325696116649
BaseRepresentation
bin10011011011011001…
…11100001100001010
3222220220200211211200
421231230330030022
5132330142311020
64443000205030
7516322131525
oct115554741412
928826624750
1010430432010
114472785a49
122031169776
13ca2c2557b
1470d3a9bbc
15410a83590
hex26db3c30a

10430432010 has 48 divisors (see below), whose sum is σ = 27124648200. Its totient is φ = 2780881920.

The previous prime is 10430431987. The next prime is 10430432017. The reversal of 10430432010 is 1023403401.

10430432010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10128610881 + 301821129 = 100641^2 + 17373^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10430432017) by changing a digit.

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, 618166 + ... + 634814.

Almost surely, 210430432010 is an apocalyptic number.

10430432010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10430432010 is an abundant number, since it is smaller than the sum of its proper divisors (16694216190).

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

10430432010 is a wasteful number, since it uses less digits than its factorization.

10430432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23623 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10430432010 its reverse (1023403401), we get a palindrome (11453835411).

The spelling of 10430432010 in words is "ten billion, four hundred thirty million, four hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6961 13922 16649 20883 33298 34805 41766 49947 62649 69610 83245 99894 104415 125298 149841 166490 208830 249735 299682 313245 499470 626490 749205 1498410 115893689 231787378 347681067 579468445 695362134 1043043201 1158936890 1738405335 2086086402 3476810670 5215216005 10430432010