Search a number
-
+
103302389016 = 23351073491423
BaseRepresentation
bin110000000110101001…
…1010101110100011000
3100212122022200002100000
41200031103111310120
53143030402422031
6115242332413000
710314633550551
oct1401523256430
9325568602300
10103302389016
113a8a0561922
121802b917160
139983a4a298
144ddd89d328
152a491103e6
hex180d4d5d18

103302389016 has 192 divisors, whose sum is σ = 293896512000. Its totient is φ = 33990668928.

The previous prime is 103302388957. The next prime is 103302389033. The reversal of 103302389016 is 610983203301.

103302389016 is a `hidden beast` number, since 1 + 0 + 330 + 238 + 90 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 72594081 + ... + 72595503.

It is an arithmetic number, because the mean of its divisors is an integer number (1530711000).

Almost surely, 2103302389016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103302389016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146948256000).

103302389016 is an abundant number, since it is smaller than the sum of its proper divisors (190594122984).

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

103302389016 is a wasteful number, since it uses less digits than its factorization.

103302389016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 103302389016 in words is "one hundred three billion, three hundred two million, three hundred eighty-nine thousand, sixteen".