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10424201000 = 235310424201
BaseRepresentation
bin10011011010101010…
…01010111100101000
3222220110222021111112
421231111022330220
5132322043413000
64442214445452
7516215150363
oct115525127450
928813867445
1010424201000
11446a20a554
12202b063888
13ca1853395
1470c6270da
15410252235
hex26d54af28

10424201000 has 32 divisors (see below), whose sum is σ = 24392632680. Its totient is φ = 4169680000.

The previous prime is 10424200979. The next prime is 10424201027. The reversal of 10424201000 is 10242401.

10424201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2047924516 + 8376276484 = 45254^2 + 91522^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5211101 + ... + 5213100.

Almost surely, 210424201000 is an apocalyptic number.

10424201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424201000 is an abundant number, since it is smaller than the sum of its proper divisors (13968431680).

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

10424201000 is a wasteful number, since it uses less digits than its factorization.

10424201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424222 (or 10424208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10424201000 its reverse (10242401), we get a palindrome (10434443401).

The spelling of 10424201000 in words is "ten billion, four hundred twenty-four million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10424201 20848402 41696804 52121005 83393608 104242010 208484020 260605025 416968040 521210050 1042420100 1303025125 2084840200 2606050250 5212100500 10424201000