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10243214500 = 225341499669
BaseRepresentation
bin10011000101000101…
…10000110010100100
3222102212102012200211
421202202300302210
5131434230331000
64412231345204
7511556613061
oct114242606244
928385365624
1010243214500
114387033732
121b9a522204
13c731c548c
146d2593c68
153ee4017ba
hex2628b0ca4

10243214500 has 48 divisors (see below), whose sum is σ = 22916864880. Its totient is φ = 3997344000.

The previous prime is 10243214467. The next prime is 10243214503. The reversal of 10243214500 is 541234201.

It can be written as a sum of positive squares in 8 ways, for example, as 8947646464 + 1295568036 = 94592^2 + 35994^2 .

It is not an unprimeable number, because it can be changed into a prime (10243214503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 229335 + ... + 270334.

It is an arithmetic number, because the mean of its divisors is an integer number (477434685).

Almost surely, 210243214500 is an apocalyptic number.

10243214500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10243214500 is an abundant number, since it is smaller than the sum of its proper divisors (12673650380).

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

10243214500 is a wasteful number, since it uses less digits than its factorization.

10243214500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499729 (or 499717 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10243214500 its reverse (541234201), we get a palindrome (10784448701).

The spelling of 10243214500 in words is "ten billion, two hundred forty-three million, two hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 5125 10250 20500 499669 999338 1998676 2498345 4996690 9993380 12491725 20486429 24983450 40972858 49966900 62458625 81945716 102432145 124917250 204864290 249834500 409728580 512160725 1024321450 2048642900 2560803625 5121607250 10243214500