Search a number
-
+
10330229700 = 22345271943223
BaseRepresentation
bin10011001111011101…
…01100101111000100
3222122221011001010000
421213232230233010
5132124014322300
64425020401300
7513664334520
oct114756545704
928587131100
1010330229700
11442116651a
1220036a6230
13c8824096b
146ddd64d80
15406d8dc00
hex267bacbc4

10330229700 has 720 divisors, whose sum is σ = 41406238720. Its totient is φ = 2175102720.

The previous prime is 10330229699. The next prime is 10330229731. The reversal of 10330229700 is 792203301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46323789 + ... + 46324011.

Almost surely, 210330229700 is an apocalyptic number.

10330229700 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 10330229700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703119360).

10330229700 is an abundant number, since it is smaller than the sum of its proper divisors (31076009020).

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

10330229700 is a wasteful number, since it uses less digits than its factorization.

10330229700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 10330229700 in words is "ten billion, three hundred thirty million, two hundred twenty-nine thousand, seven hundred".