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10352121040 = 245129401513
BaseRepresentation
bin10011010010000100…
…01101010011010000
3222201110100020101101
421221002031103100
5132200120333130
64431121514144
7514351401622
oct115102152320
928643306341
1010352121040
114432558838
12200aaa2954
13c8c936c11
14702c22c12
15408c651ca
hex26908d4d0

10352121040 has 20 divisors (see below), whose sum is σ = 24068681604. Its totient is φ = 4140848384.

The previous prime is 10352121029. The next prime is 10352121071. The reversal of 10352121040 is 4012125301.

It can be written as a sum of positive squares in 2 ways, for example, as 4440356496 + 5911764544 = 66636^2 + 76888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 10352120999 and 10352121017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64700677 + ... + 64700836.

Almost surely, 210352121040 is an apocalyptic number.

10352121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10352121040 is an abundant number, since it is smaller than the sum of its proper divisors (13716560564).

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

10352121040 is a wasteful number, since it uses less digits than its factorization.

10352121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129401526 (or 129401520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10352121040 its reverse (4012125301), we get a palindrome (14364246341).

The spelling of 10352121040 in words is "ten billion, three hundred fifty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 129401513 258803026 517606052 647007565 1035212104 1294015130 2070424208 2588030260 5176060520 10352121040