Search a number
-
+
103050402000 = 24353713375101
BaseRepresentation
bin101111111111001001…
…0000101100011010000
3100211222202111211010120
41133332102011203100
53142021400331000
6115201331430240
710305453651540
oct1377622054320
9324882454116
10103050402000
113a7812a1297
1217b7b455380
139943790340
144db8227320
152a31e376a0
hex17fe4858d0

103050402000 has 640 divisors, whose sum is σ = 420037782528. Its totient is φ = 21150720000.

The previous prime is 103050401981. The next prime is 103050402017. The reversal of 103050402000 is 204050301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 20199450 + ... + 20204550.

Almost surely, 2103050402000 is an apocalyptic number.

103050402000 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 103050402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210018891264).

103050402000 is an abundant number, since it is smaller than the sum of its proper divisors (316987380528).

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

103050402000 is a wasteful number, since it uses less digits than its factorization.

103050402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 103050402000 its reverse (204050301), we get a palindrome (103254452301).

The spelling of 103050402000 in words is "one hundred three billion, fifty million, four hundred two thousand".