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10243133300 = 2252109939737
BaseRepresentation
bin10011000101000100…
…11100111101110100
3222102212021002022102
421202202130331310
5131434220231200
64412225521232
7511556124251
oct114242347564
928385232272
1010243133300
114386a88724
121b9a4a3218
13c7319752a
146d2572428
153ee3d76d5
hex26289cf74

10243133300 has 36 divisors (see below), whose sum is σ = 22431546060. Its totient is φ = 4059659520.

The previous prime is 10243133291. The next prime is 10243133309. The reversal of 10243133300 is 333134201.

10243133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10243133291) and next prime (10243133309).

It can be written as a sum of positive squares in 6 ways, for example, as 841116004 + 9402017296 = 29002^2 + 96964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243133309) 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, 458969 + ... + 480768.

Almost surely, 210243133300 is an apocalyptic number.

10243133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10243133300 is an abundant number, since it is smaller than the sum of its proper divisors (12188412760).

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

10243133300 is a wasteful number, since it uses less digits than its factorization.

10243133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939860 (or 939853 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10243133300 its reverse (333134201), we get a palindrome (10576267501).

Subtracting from 10243133300 its reverse (333134201), we obtain a palindrome (9909999099).

The spelling of 10243133300 in words is "ten billion, two hundred forty-three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 939737 1879474 3758948 4698685 9397370 18794740 23493425 46986850 93973700 102431333 204862666 409725332 512156665 1024313330 2048626660 2560783325 5121566650 10243133300