Search a number
-
+
1313000500 = 225373710139
BaseRepresentation
bin100111001000010…
…1100110000110100
310101111122100002011
41032100230300310
510142112004000
6334142054004
744352214540
oct11620546064
93344570064
101313000500
11614177789
1230787a304
1317c03a496
14c6546a20
157a40c2ba
hex4e42cc34

1313000500 has 96 divisors (see below), whose sum is σ = 3366155520. Its totient is φ = 437961600.

The previous prime is 1313000477. The next prime is 1313000501. The reversal of 1313000500 is 50003131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313000501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124431 + ... + 134569.

It is an arithmetic number, because the mean of its divisors is an integer number (35064120).

Almost surely, 21313000500 is an apocalyptic number.

1313000500 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 1313000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683077760).

1313000500 is an abundant number, since it is smaller than the sum of its proper divisors (2053155020).

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

1313000500 is a wasteful number, since it uses less digits than its factorization.

1313000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1313000500 is about 36235.3487633278. The cubic root of 1313000500 is about 1095.0189386715.

Adding to 1313000500 its reverse (50003131), we get a palindrome (1363003631).

The spelling of 1313000500 in words is "one billion, three hundred thirteen million, five hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 125 140 148 175 185 250 259 350 370 500 518 700 740 875 925 1036 1295 1750 1850 2590 3500 3700 4625 5180 6475 9250 10139 12950 18500 20278 25900 32375 40556 50695 64750 70973 101390 129500 141946 202780 253475 283892 354865 375143 506950 709730 750286 1013900 1267375 1419460 1500572 1774325 1875715 2534750 2626001 3548650 3751430 5069500 5252002 7097300 7502860 8871625 9378575 10504004 13130005 17743250 18757150 26260010 35486500 37514300 46892875 52520020 65650025 93785750 131300050 187571500 262600100 328250125 656500250 1313000500