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103313383320 = 23357122992123
BaseRepresentation
bin110000000110111110…
…1010001111110011000
3100212200002100122200110
41200031331101332120
53143041211231240
6115243404204320
710315126161120
oct1401575217630
9325602318613
10103313383320
113a8a6791024
12180335396a0
1399860c95a4
145001121c80
152a4a082c80
hex180df51f98

103313383320 has 64 divisors (see below), whose sum is σ = 354217317120. Its totient is φ = 23614487424.

The previous prime is 103313383219. The next prime is 103313383321. The reversal of 103313383320 is 23383313301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313383321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 61495222 + ... + 61496901.

It is an arithmetic number, because the mean of its divisors is an integer number (5534645580).

Almost surely, 2103313383320 is an apocalyptic number.

103313383320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313383320 is an abundant number, since it is smaller than the sum of its proper divisors (250903933800).

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

103313383320 is a wasteful number, since it uses less digits than its factorization.

103313383320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122992144 (or 122992140 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 103313383320 its reverse (23383313301), we get a palindrome (126696696621).

The spelling of 103313383320 in words is "one hundred three billion, three hundred thirteen million, three hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 122992123 245984246 368976369 491968492 614960615 737952738 860944861 983936984 1229921230 1475905476 1721889722 1844881845 2459842460 2582834583 2951810952 3443779444 3689763690 4304724305 4919684920 5165669166 6887558888 7379527380 8609448610 10331338332 12914172915 14759054760 17218897220 20662676664 25828345830 34437794440 51656691660 103313383320