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10503380196 = 2232192292312
BaseRepresentation
bin10011100100000110…
…01101110011100100
31000002222221222221100
421302003031303210
5133002331131241
64454123520100
7521166154461
oct116203156344
930088858840
1010503380196
1144aa980001
122051689030
13cb5086c8a
14718d58668
154171929b6
hex2720cdce4

10503380196 has 243 divisors, whose sum is σ = 29987051913. Its totient is φ = 3099176640.

The previous prime is 10503380189. The next prime is 10503380197. The reversal of 10503380196 is 69108330501.

It is a happy number.

The square root of 10503380196 is 102486.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5507717796 + 4995662400 = 74214^2 + 70680^2 .

It is a super-2 number, since 2×105033801962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10503380196.

It is not an unprimeable number, because it can be changed into a prime (10503380197) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 338818701 + ... + 338818731.

Almost surely, 210503380196 is an apocalyptic number.

10503380196 is the 102486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503380196

10503380196 is an abundant number, since it is smaller than the sum of its proper divisors (19483671717).

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

10503380196 is a wasteful number, since it uses less digits than its factorization.

10503380196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 10503380196 by its sum of digits (36), we get a square (378121687056 = 6149162).

10503380196 divided by its sum of digits (36) gives a square (291760561 = 170812).

The spelling of 10503380196 in words is "ten billion, five hundred three million, three hundred eighty thousand, one hundred ninety-six".