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10013424040 = 235250335601
BaseRepresentation
bin10010101001101100…
…01011100110101000
3221211212000122110001
421110312023212220
5131001414032130
64333342232344
7503066462044
oct112466134650
927755018401
1010013424040
114279353764
121b355856b4
13c3770a6a9
146adc59024
153d91606ca
hex254d8b9a8

10013424040 has 16 divisors (see below), whose sum is σ = 22530204180. Its totient is φ = 4005369600.

The previous prime is 10013424019. The next prime is 10013424059. The reversal of 10013424040 is 4042431001.

It can be written as a sum of positive squares in 2 ways, for example, as 9386121924 + 627302116 = 96882^2 + 25046^2 .

It is a super-2 number, since 2×100134240402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013423999 and 10013424017.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125167761 + ... + 125167840.

Almost surely, 210013424040 is an apocalyptic number.

10013424040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013424040 is an abundant number, since it is smaller than the sum of its proper divisors (12516780140).

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

10013424040 is a wasteful number, since it uses less digits than its factorization.

10013424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250335612 (or 250335608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10013424040 its reverse (4042431001), we get a palindrome (14055855041).

The spelling of 10013424040 in words is "ten billion, thirteen million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 250335601 500671202 1001342404 1251678005 2002684808 2503356010 5006712020 10013424040