Search a number
-
+
10024434200 = 235211171914107
BaseRepresentation
bin10010101011000000…
…01011101000011000
3221212121202000112202
421111200023220120
5131012223343300
64334414225332
7503262166454
oct112540135030
927777660482
1010024434200
114284593870
121b391b5248
13c39a93c91
146b14c3664
153da0d7ad5
hex25580ba18

10024434200 has 192 divisors, whose sum is σ = 28340150400. Its totient is φ = 3250022400.

The previous prime is 10024434197. The next prime is 10024434221. The reversal of 10024434200 is 243442001.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 703547 + ... + 717653.

It is an arithmetic number, because the mean of its divisors is an integer number (147604950).

Almost surely, 210024434200 is an apocalyptic number.

10024434200 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 10024434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14170075200).

10024434200 is an abundant number, since it is smaller than the sum of its proper divisors (18315716200).

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

10024434200 is a wasteful number, since it uses less digits than its factorization.

10024434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10024434200 its reverse (243442001), we get a palindrome (10267876201).

The spelling of 10024434200 in words is "ten billion, twenty-four million, four hundred thirty-four thousand, two hundred".