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5103100320 = 253555719087
BaseRepresentation
bin1001100000010101…
…10010000110100000
3111011122101100121120
410300022302012200
540422343202240
62202213052240
7240313431333
oct46012620640
914148340546
105103100320
11218962688a
12ba5027080
136343195b6
14365a5c61a
151ed01ead0
hex1302b21a0

5103100320 has 96 divisors (see below), whose sum is σ = 16104469248. Its totient is φ = 1358312448.

The previous prime is 5103100291. The next prime is 5103100339. The reversal of 5103100320 is 230013015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 5103100320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257817 + ... + 276903.

It is an arithmetic number, because the mean of its divisors is an integer number (167754888).

Almost surely, 25103100320 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 5103100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052234624).

5103100320 is an abundant number, since it is smaller than the sum of its proper divisors (11001368928).

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

5103100320 is a wasteful number, since it uses less digits than its factorization.

5103100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19662 (or 19654 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5103100320 is about 71435.9875692917. The cubic root of 5103100320 is about 1721.6493463293.

Adding to 5103100320 its reverse (230013015), we get a palindrome (5333113335).

The spelling of 5103100320 in words is "five billion, one hundred three million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 557 1114 1671 2228 2785 3342 4456 5570 6684 8355 8912 11140 13368 16710 17824 19087 22280 26736 33420 38174 44560 53472 57261 66840 76348 89120 95435 114522 133680 152696 190870 229044 267360 286305 305392 381740 458088 572610 610784 763480 916176 1145220 1526960 1832352 2290440 3053920 4580880 9161760 10631459 21262918 31894377 42525836 53157295 63788754 85051672 106314590 127577508 159471885 170103344 212629180 255155016 318943770 340206688 425258360 510310032 637887540 850516720 1020620064 1275775080 1701033440 2551550160 5103100320