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10511430104 = 237416836703
BaseRepresentation
bin10011100101000011…
…11011000111011000
31000010120002222100002
421302201323013120
5133011411230404
64455012232132
7521324452550
oct116241730730
930116088302
1010511430104
11450447901a
12205430b648
13cb6945036
1471a052160
15417c32c1e
hex27287b1d8

10511430104 has 64 divisors (see below), whose sum is σ = 23111101440. Its totient is φ = 4387933440.

The previous prime is 10511430101. The next prime is 10511430113. The reversal of 10511430104 is 40103411501.

It is a happy number.

10511430104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105114301042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511430101) 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 15 ways as a sum of consecutive naturals, for example, 1564817 + ... + 1571519.

It is an arithmetic number, because the mean of its divisors is an integer number (361110960).

Almost surely, 210511430104 is an apocalyptic number.

10511430104 is a gapful number since it is divisible by the number (14) 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 10511430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555550720).

10511430104 is an abundant number, since it is smaller than the sum of its proper divisors (12599671336).

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

10511430104 is a wasteful number, since it uses less digits than its factorization.

10511430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10511430104 its reverse (40103411501), we get a palindrome (50614841605).

The spelling of 10511430104 in words is "ten billion, five hundred eleven million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 683 1148 1366 2296 2732 4781 5464 6703 9562 13406 19124 26812 28003 38248 46921 53624 56006 93842 112012 187684 196021 224024 274823 375368 392042 549646 784084 1099292 1568168 1923761 2198584 3847522 4578149 7695044 9156298 15390088 18312596 32047043 36625192 64094086 128188172 187704109 256376344 375408218 750816436 1313928763 1501632872 2627857526 5255715052 10511430104