Search a number
-
+
10020243200 = 285211317449
BaseRepresentation
bin10010101010100000…
…01100011100000000
3221212022212002120112
421111100030130000
5131010140240300
64334144330452
7503211443012
oct112520143400
927768762515
1010020243200
114282191030
121b37913a28
13c38c574b6
146b0b121b2
153d9a5ae35
hex25540c700

10020243200 has 216 divisors, whose sum is σ = 27202165200. Its totient is φ = 3624140800.

The previous prime is 10020243197. The next prime is 10020243209. The reversal of 10020243200 is 234202001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020243209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22316576 + ... + 22317024.

It is an arithmetic number, because the mean of its divisors is an integer number (125935950).

Almost surely, 210020243200 is an apocalyptic number.

10020243200 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 10020243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601082600).

10020243200 is an abundant number, since it is smaller than the sum of its proper divisors (17181922000).

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

10020243200 is a wasteful number, since it uses less digits than its factorization.

10020243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10020243200 its reverse (234202001), we get a palindrome (10254445201).

The spelling of 10020243200 in words is "ten billion, twenty million, two hundred forty-three thousand, two hundred".