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10421243300 = 2252139298629
BaseRepresentation
bin10011011010010011…
…11000110110100100
3222220021102000022002
421231021320312210
5132320314241200
64442031224432
7516151051346
oct115511706644
928807360262
1010421243300
11446857a376
12202a078118
13ca1059070
1470c097296
1540ed6abd5
hex26d278da4

10421243300 has 72 divisors (see below), whose sum is σ = 24382684200. Its totient is φ = 3843256320.

The previous prime is 10421243263. The next prime is 10421243303. The reversal of 10421243300 is 334212401.

10421243300 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 12 ways, for example, as 6500229376 + 3921013924 = 80624^2 + 62618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10421243303) 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 23 ways as a sum of consecutive naturals, for example, 1203386 + ... + 1212014.

Almost surely, 210421243300 is an apocalyptic number.

10421243300 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 10421243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191342100).

10421243300 is an abundant number, since it is smaller than the sum of its proper divisors (13961440900).

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

10421243300 is a wasteful number, since it uses less digits than its factorization.

10421243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10421243300 its reverse (334212401), we get a palindrome (10755455701).

The spelling of 10421243300 in words is "ten billion, four hundred twenty-one million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 929 1300 1858 3716 4645 8629 9290 12077 17258 18580 23225 24154 34516 43145 46450 48308 60385 86290 92900 112177 120770 172580 215725 224354 241540 301925 431450 448708 560885 603850 862900 1121770 1207700 2243540 2804425 5608850 8016341 11217700 16032682 32065364 40081705 80163410 104212433 160326820 200408525 208424866 400817050 416849732 521062165 801634100 1042124330 2084248660 2605310825 5210621650 10421243300