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10503352032 = 253359304763
BaseRepresentation
bin10011100100000110…
…00110111011100000
31000002222220120022020
421302003012323200
5133002324231112
64454123141440
7521166006405
oct116203067340
930088816266
1010503352032
1144aa960928
122051674880
13cb5077204
14718d4c2ac
1541718948c
hex2720c6ee0

10503352032 has 48 divisors (see below), whose sum is σ = 27648190080. Its totient is φ = 3491353472.

The previous prime is 10503352003. The next prime is 10503352033. The reversal of 10503352032 is 23025330501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105033520322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10503351993 and 10503352011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503352033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117918 + ... + 186845.

It is an arithmetic number, because the mean of its divisors is an integer number (576003960).

Almost surely, 210503352032 is an apocalyptic number.

10503352032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10503352032 is an abundant number, since it is smaller than the sum of its proper divisors (17144838048).

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

10503352032 is a wasteful number, since it uses less digits than its factorization.

10503352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305135 (or 305127 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 10503352032 its reverse (23025330501), we get a palindrome (33528682533).

The spelling of 10503352032 in words is "ten billion, five hundred three million, three hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 34464 304763 609526 914289 1219052 1828578 2438104 3657156 4876208 7314312 9752416 14628624 29257248 109409917 218819834 328229751 437639668 656459502 875279336 1312919004 1750558672 2625838008 3501117344 5251676016 10503352032