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3130130000 = 2454893517
BaseRepresentation
bin1011101010010001…
…1111111001010000
322002010220002010202
42322210133321100
522402303130000
61234333314332
7140365444304
oct27244377120
98063802122
103130130000
111366970aa8
127343359a8
133ab64723a
142199dbd04
15134beadd5
hexba91fe50

3130130000 has 100 divisors (see below), whose sum is σ = 7665686820. Its totient is φ = 1237632000.

The previous prime is 3130129979. The next prime is 3130130041. The reversal of 3130130000 is 310313.

It can be written as a sum of positive squares in 10 ways, for example, as 2052452416 + 1077677584 = 45304^2 + 32828^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 888242 + ... + 891758.

Almost surely, 23130130000 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 3130130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832843410).

3130130000 is an abundant number, since it is smaller than the sum of its proper divisors (4535556820).

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

3130130000 is an equidigital number, since it uses as much as digits as its factorization.

3130130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3613 counting only the distinct ones).

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

The square root of 3130130000 is about 55947.5647369928. The cubic root of 3130130000 is about 1462.8084429923.

Adding to 3130130000 its reverse (310313), we get a palindrome (3130440313).

The spelling of 3130130000 in words is "three billion, one hundred thirty million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3517 3560 4450 5000 7034 7120 8900 10000 11125 14068 17585 17800 22250 28136 35170 35600 44500 55625 56272 70340 87925 89000 111250 140680 175850 178000 222500 281360 313013 351700 439625 445000 626026 703400 879250 890000 1252052 1406800 1565065 1758500 2198125 2504104 3130130 3517000 4396250 5008208 6260260 7034000 7825325 8792500 12520520 15650650 17585000 25041040 31301300 35170000 39126625 62602600 78253250 125205200 156506500 195633125 313013000 391266250 626026000 782532500 1565065000 3130130000