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5130399100 = 22521031992503
BaseRepresentation
bin1001100011100101…
…11010110101111100
3111020112202021111111
410301302322311330
541001340232400
62205030131404
7241064446531
oct46162726574
914215667444
105130399100
1121a2a81862
12bb21b0b64
13639b86c18
14369526d88
152006133ba
hex131cbad7c

5130399100 has 72 divisors (see below), whose sum is σ = 11302054400. Its totient is φ = 2021215680.

The previous prime is 5130399091. The next prime is 5130399121. The reversal of 5130399100 is 19930315.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2048449 + ... + 2050951.

Almost surely, 25130399100 is an apocalyptic number.

5130399100 is a gapful number since it is divisible by the number (50) 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 5130399100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651027200).

5130399100 is an abundant number, since it is smaller than the sum of its proper divisors (6171655300).

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

5130399100 is a wasteful number, since it uses less digits than its factorization.

5130399100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 31.

The square root of 5130399100 is about 71626.8043402747. The cubic root of 5130399100 is about 1724.7138473740.

The spelling of 5130399100 in words is "five billion, one hundred thirty million, three hundred ninety-nine thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 199 206 398 412 515 796 995 1030 1990 2060 2503 2575 3980 4975 5006 5150 9950 10012 10300 12515 19900 20497 25030 40994 50060 62575 81988 102485 125150 204970 250300 257809 409940 498097 512425 515618 996194 1024850 1031236 1289045 1992388 2049700 2490485 2578090 4980970 5156180 6445225 9961940 12452425 12890450 24904850 25780900 49809700 51303991 102607982 205215964 256519955 513039910 1026079820 1282599775 2565199550 5130399100