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10032300520 = 2351167733679
BaseRepresentation
bin10010101011111100…
…01100000111101000
3221220011112200002221
421111332030013220
5131021232104040
64335255003424
7503416101364
oct112576140750
927804480087
1010032300520
114288a76960
121b3b969574
13c3b5b95c8
146b25702a4
153dab3d74a
hex255f8c1e8

10032300520 has 64 divisors (see below), whose sum is σ = 24661843200. Its totient is φ = 3642612480.

The previous prime is 10032300493. The next prime is 10032300521. The reversal of 10032300520 is 2500323001.

10032300520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10032300494 and 10032300503.

It is not an unprimeable number, because it can be changed into a prime (10032300521) 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, 281041 + ... + 314719.

It is an arithmetic number, because the mean of its divisors is an integer number (385341300).

Almost surely, 210032300520 is an apocalyptic number.

10032300520 is a gapful number since it is divisible by the number (10) 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 10032300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330921600).

10032300520 is an abundant number, since it is smaller than the sum of its proper divisors (14629542680).

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

10032300520 is a wasteful number, since it uses less digits than its factorization.

10032300520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34378 (or 34374 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 10032300520 its reverse (2500323001), we get a palindrome (12532623521).

The spelling of 10032300520 in words is "ten billion, thirty-two million, three hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 677 1354 2708 3385 5416 6770 7447 13540 14894 27080 29788 33679 37235 59576 67358 74470 134716 148940 168395 269432 297880 336790 370469 673580 740938 1347160 1481876 1852345 2963752 3704690 7409380 14818760 22800683 45601366 91202732 114003415 182405464 228006830 250807513 456013660 501615026 912027320 1003230052 1254037565 2006460104 2508075130 5016150260 10032300520