Search a number
-
+
103310030000 = 2454191035279
BaseRepresentation
bin110000000110111000…
…0011111010010110000
3100212122212001021210102
41200031300133102300
53143034331430000
6115243204251532
710315055523512
oct1401560372260
9325585037712
10103310030000
113a8a4900691
12180323a0ba8
1399854c4188
1450008cbbb2
152a49b1e3d5
hex180dc1f4b0

103310030000 has 200 divisors, whose sum is σ = 265894886400. Its totient is φ = 38761632000.

The previous prime is 103310029961. The next prime is 103310030023. The reversal of 103310030000 is 30013301.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19567361 + ... + 19572639.

It is an arithmetic number, because the mean of its divisors is an integer number (1329474432).

Almost surely, 2103310030000 is an apocalyptic number.

103310030000 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 103310030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132947443200).

103310030000 is an abundant number, since it is smaller than the sum of its proper divisors (162584856400).

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

103310030000 is a wasteful number, since it uses less digits than its factorization.

103310030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 103310030000 its reverse (30013301), we get a palindrome (103340043301).

The spelling of 103310030000 in words is "one hundred three billion, three hundred ten million, thirty thousand".