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10043124100 = 2252234142901
BaseRepresentation
bin10010101101001110…
…11110100110000100
3221220220220120021021
421112213132212010
5131032014432400
64340323000524
7503610101122
oct112647364604
927826816237
1010043124100
114294099869
121b43509144
13c40908ca9
146b3b8a912
153dba7a71a
hex2569de984

10043124100 has 36 divisors (see below), whose sum is σ = 21803397028. Its totient is φ = 4015440000.

The previous prime is 10043124079. The next prime is 10043124109. The reversal of 10043124100 is 142134001.

10043124100 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 6 ways, for example, as 71503936 + 9971620164 = 8456^2 + 99858^2 .

It is not an unprimeable number, because it can be changed into a prime (10043124109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 212650 + ... + 255550.

Almost surely, 210043124100 is an apocalyptic number.

10043124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10043124100 is an abundant number, since it is smaller than the sum of its proper divisors (11760272928).

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

10043124100 is a wasteful number, since it uses less digits than its factorization.

10043124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45256 (or 45249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10043124100 its reverse (142134001), we get a palindrome (10185258101).

Subtracting from 10043124100 its reverse (142134001), we obtain a palindrome (9900990099).

The spelling of 10043124100 in words is "ten billion, forty-three million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2341 4682 9364 11705 23410 42901 46820 58525 85802 117050 171604 214505 234100 429010 858020 1072525 2145050 4290100 100431241 200862482 401724964 502156205 1004312410 2008624820 2510781025 5021562050 10043124100