Search a number
-
+
103301020320 = 2535215210459
BaseRepresentation
bin110000000110100111…
…0000111101010100000
3100212122020002112211120
41200031032013222200
53143030030122240
6115242243212240
710314616120311
oct1401516075240
9325566075746
10103301020320
113a89a807573
121802b377080
13998368b2c4
144ddd624608
152a48e3ead0
hex180d387aa0

103301020320 has 48 divisors (see below), whose sum is σ = 325398215520. Its totient is φ = 27546938624.

The previous prime is 103301020301. The next prime is 103301020327. The reversal of 103301020320 is 23020103301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1033010203202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103301020320.

It is not an unprimeable number, because it can be changed into a prime (103301020327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107604750 + ... + 107605709.

It is an arithmetic number, because the mean of its divisors is an integer number (6779129490).

Almost surely, 2103301020320 is an apocalyptic number.

103301020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301020320 is an abundant number, since it is smaller than the sum of its proper divisors (222097195200).

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

103301020320 is a wasteful number, since it uses less digits than its factorization.

103301020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215210477 (or 215210469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103301020320 its reverse (23020103301), we get a palindrome (126321123621).

The spelling of 103301020320 in words is "one hundred three billion, three hundred one million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 215210459 430420918 645631377 860841836 1076052295 1291262754 1721683672 2152104590 2582525508 3228156885 3443367344 4304209180 5165051016 6456313770 6886734688 8608418360 10330102032 12912627540 17216836720 20660204064 25825255080 34433673440 51650510160 103301020320