Search a number
-
+
10330188000 = 253531178259
BaseRepresentation
bin10011001111011101…
…00010100011100000
3222122221001220220120
421213232202203200
5132124012004000
64425015440240
7513664102116
oct114756424340
928587056816
1010330188000
114421138160
122003686080
13c882279a2
146ddd53ab6
15406d816a0
hex267ba28e0

10330188000 has 192 divisors, whose sum is σ = 36918685440. Its totient is φ = 2504256000.

The previous prime is 10330187993. The next prime is 10330188013. The reversal of 10330188000 is 88103301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92871 + ... + 171129.

It is an arithmetic number, because the mean of its divisors is an integer number (192284820).

Almost surely, 210330188000 is an apocalyptic number.

10330188000 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 10330188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459342720).

10330188000 is an abundant number, since it is smaller than the sum of its proper divisors (26588497440).

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

10330188000 is a wasteful number, since it uses less digits than its factorization.

10330188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78298 (or 78280 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 103 and 30188000, that added together give a palindrome (30188103).

The spelling of 10330188000 in words is "ten billion, three hundred thirty million, one hundred eighty-eight thousand".