Search a number
-
+
103050144600 = 233521314938849
BaseRepresentation
bin101111111111001000…
…1000110101101011000
3100211222202000202001020
41133332101012231120
53142021314111400
6115201322122440
710305451530234
oct1377621065530
9324882022036
10103050144600
113a781135967
1217b7b350420
139943700130
144db819b5c4
152a31dd62a0
hex17fe446b58

103050144600 has 192 divisors, whose sum is σ = 344298276000. Its totient is φ = 25346334720.

The previous prime is 103050144563. The next prime is 103050144629. The reversal of 103050144600 is 6441050301.

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 47 ways as a sum of consecutive naturals, for example, 11640976 + ... + 11649824.

Almost surely, 2103050144600 is an apocalyptic number.

103050144600 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 103050144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172149138000).

103050144600 is an abundant number, since it is smaller than the sum of its proper divisors (241248131400).

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

103050144600 is a wasteful number, since it uses less digits than its factorization.

103050144600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10365 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 103050144600 its reverse (6441050301), we get a palindrome (109491194901).

The spelling of 103050144600 in words is "one hundred three billion, fifty million, one hundred forty-four thousand, six hundred".