Search a number
-
+
13003030200 = 2335236759051
BaseRepresentation
bin11000001110000101…
…00111111010111000
31020120012111101010010
430013002213322320
5203112233431300
65550140021520
7640140635016
oct140702477270
936505441103
1013003030200
115572965056
12262a8318a0
1312c2bc3014
148b4d178b6
1551184ea50
hex3070a7eb8

13003030200 has 96 divisors (see below), whose sum is σ = 40419912960. Its totient is φ = 3457968000.

The previous prime is 13003030189. The next prime is 13003030211. The reversal of 13003030200 is 203030031.

It is a happy number.

13003030200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13003030189) and next prime (13003030211).

It is a super-2 number, since 2×130030302002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 190675 + ... + 249725.

It is an arithmetic number, because the mean of its divisors is an integer number (421040760).

Almost surely, 213003030200 is an apocalyptic number.

13003030200 is a gapful number since it is divisible by the number (10) 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 13003030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209956480).

13003030200 is an abundant number, since it is smaller than the sum of its proper divisors (27416882760).

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

13003030200 is a wasteful number, since it uses less digits than its factorization.

13003030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59437 (or 59428 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 13003030200 its reverse (203030031), we get a palindrome (13206060231).

The spelling of 13003030200 in words is "thirteen billion, three million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 367 600 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 55050 59051 73400 110100 118102 177153 220200 236204 295255 354306 472408 590510 708612 885765 1181020 1417224 1476275 1771530 2362040 2952550 3543060 4428825 5905100 7086120 8857650 11810200 17715300 21671717 35430600 43343434 65015151 86686868 108358585 130030302 173373736 216717170 260060604 325075755 433434340 520121208 541792925 650151510 866868680 1083585850 1300303020 1625378775 2167171700 2600606040 3250757550 4334343400 6501515100 13003030200