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10013143300 = 22526710913711
BaseRepresentation
bin10010101001101010…
…00111000100000100
3221211211111101100021
421110311013010010
5131001331041200
64333332224524
7503064212416
oct112465070404
927754441307
1010013143300
114279181846
121b3546b144
13c3763c984
146adbc49b6
153d910741a
hex254d47104

10013143300 has 72 divisors (see below), whose sum is σ = 22256769920. Its totient is φ = 3908995200.

The previous prime is 10013143291. The next prime is 10013143303. The reversal of 10013143300 is 334131001.

It is not an unprimeable number, because it can be changed into a prime (10013143303) 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 23 ways as a sum of consecutive naturals, for example, 723445 + ... + 737155.

Almost surely, 210013143300 is an apocalyptic number.

10013143300 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 10013143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128384960).

10013143300 is an abundant number, since it is smaller than the sum of its proper divisors (12243626620).

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

10013143300 is a wasteful number, since it uses less digits than its factorization.

10013143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13901 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10013143300 its reverse (334131001), we get a palindrome (10347274301).

The spelling of 10013143300 in words is "ten billion, thirteen million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 109 134 218 268 335 436 545 670 1090 1340 1675 2180 2725 3350 5450 6700 7303 10900 13711 14606 27422 29212 36515 54844 68555 73030 137110 146060 182575 274220 342775 365150 685550 730300 918637 1371100 1494499 1837274 2988998 3674548 4593185 5977996 7472495 9186370 14944990 18372740 22965925 29889980 37362475 45931850 74724950 91863700 100131433 149449900 200262866 400525732 500657165 1001314330 2002628660 2503285825 5006571650 10013143300