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10403240200 = 2352449115849
BaseRepresentation
bin10011011000001010…
…01101100100001000
3222212000112100200121
421230011031210020
5132301212141300
64440145313024
7515542040233
oct115405154410
928760470617
1010403240200
1144593a3381
122024035774
13c9a3c4842
1470992c41a
1540d4b181a
hex26c14d908

10403240200 has 48 divisors (see below), whose sum is σ = 24241612500. Its totient is φ = 4151992320.

The previous prime is 10403240191. The next prime is 10403240227. The reversal of 10403240200 is 204230401.

It can be written as a sum of positive squares in 6 ways, for example, as 6078073444 + 4325166756 = 77962^2 + 65766^2 .

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 11 ways as a sum of consecutive naturals, for example, 31876 + ... + 147724.

Almost surely, 210403240200 is an apocalyptic number.

10403240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120806250).

10403240200 is an abundant number, since it is smaller than the sum of its proper divisors (13838372300).

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

10403240200 is a wasteful number, since it uses less digits than its factorization.

10403240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116314 (or 116305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10403240200 its reverse (204230401), we get a palindrome (10607470601).

The spelling of 10403240200 in words is "ten billion, four hundred three million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 449 898 1796 2245 3592 4490 8980 11225 17960 22450 44900 89800 115849 231698 463396 579245 926792 1158490 2316980 2896225 4633960 5792450 11584900 23169800 52016201 104032402 208064804 260081005 416129608 520162010 1040324020 1300405025 2080648040 2600810050 5201620100 10403240200