Search a number
-
+
10331120200 = 2352433119297
BaseRepresentation
bin10011001111100100…
…00110001001001000
3222122222211021122111
421213302012021020
5132124231321300
64425051432104
7514005033652
oct114762061110
928588737574
1010331120200
114421714575
122003a55634
13c8849309b
147001176d2
15406eb79ba
hex267c86248

10331120200 has 48 divisors (see below), whose sum is σ = 24075529380. Its totient is φ = 4122869760.

The previous prime is 10331120123. The next prime is 10331120207. The reversal of 10331120200 is 202113301.

It can be written as a sum of positive squares in 6 ways, for example, as 4536561316 + 5794558884 = 67354^2 + 76122^2 .

It is not an unprimeable number, because it can be changed into a prime (10331120207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26952 + ... + 146248.

Almost surely, 210331120200 is an apocalyptic number.

10331120200 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 10331120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037764690).

10331120200 is an abundant number, since it is smaller than the sum of its proper divisors (13744409180).

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

10331120200 is a wasteful number, since it uses less digits than its factorization.

10331120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119746 (or 119737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10331120200 its reverse (202113301), we get a palindrome (10533233501).

The spelling of 10331120200 in words is "ten billion, three hundred thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 433 866 1732 2165 3464 4330 8660 10825 17320 21650 43300 86600 119297 238594 477188 596485 954376 1192970 2385940 2982425 4771880 5964850 11929700 23859400 51655601 103311202 206622404 258278005 413244808 516556010 1033112020 1291390025 2066224040 2582780050 5165560100 10331120200