Search a number
-
+
10002043200 = 263523535903
BaseRepresentation
bin10010101000010101…
…10001000101000000
3221211001121102212110
421110022301011000
5130441010340300
64332254255320
7502600651542
oct112412610500
927731542773
1010002043200
114272990106
121b317b7540
13c35254476
146ac535692
153d8163550
hex2542b1140

10002043200 has 168 divisors, whose sum is σ = 32913571968. Its totient is φ = 2659205120.

The previous prime is 10002043169. The next prime is 10002043223. The reversal of 10002043200 is 234020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 1691449 + ... + 1697351.

Almost surely, 210002043200 is an apocalyptic number.

10002043200 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 10002043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456785984).

10002043200 is an abundant number, since it is smaller than the sum of its proper divisors (22911528768).

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

10002043200 is a wasteful number, since it uses less digits than its factorization.

10002043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10002043200 its reverse (234020001), we get a palindrome (10236063201).

The spelling of 10002043200 in words is "ten billion, two million, forty-three thousand, two hundred".