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10503452305500 = 22353721117972577
BaseRepresentation
bin1001100011011000011010…
…0010110010100001011100
31101012010020122120020220120
42120312012202302201130
52334042032242234000
634201115215114540
72132564224340400
oct230660642624134
941163218506816
1010503452305500
11338a542002760
121217780b12a50
135b26185b39cb
14284526a57100
15133343bb16a0
hex98d868b285c

10503452305500 has 576 divisors, whose sum is σ = 39031589076480. Its totient is φ = 2170312704000.

The previous prime is 10503452305483. The next prime is 10503452305501. The reversal of 10503452305500 is 550325430501.

It is a happy number.

It is a super-2 number, since 2×105034523055002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503452305501) 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 191 ways as a sum of consecutive naturals, for example, 144685212 + ... + 144757788.

It is an arithmetic number, because the mean of its divisors is an integer number (67763175480).

Almost surely, 210503452305500 is an apocalyptic number.

10503452305500 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 10503452305500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515794538240).

10503452305500 is an abundant number, since it is smaller than the sum of its proper divisors (28528136770980).

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

10503452305500 is a wasteful number, since it uses less digits than its factorization.

10503452305500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72803 (or 72784 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 10503452305500 in words is "ten trillion, five hundred three billion, four hundred fifty-two million, three hundred five thousand, five hundred".