Search a number
-
+
1003130300000 = 255529345907
BaseRepresentation
bin11101001100011110011…
…10011010011001100000
310112220020212122010211002
432212033032122121200
5112413402324100000
62044455351411132
7132321334602053
oct16461716323140
93486225563732
101003130300000
113574749a2694
121424b6383aa8
137379697226a
14367a208aa9a
151b1614978d5
hexe98f39a660

1003130300000 has 144 divisors (see below), whose sum is σ = 2553610464720. Its totient is φ = 387414720000.

The previous prime is 1003130299981. The next prime is 1003130300071. The reversal of 1003130300000 is 30313001.

1003130300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2727047 + ... + 3072953.

It is an arithmetic number, because the mean of its divisors is an integer number (17733406005).

Almost surely, 21003130300000 is an apocalyptic number.

1003130300000 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 1003130300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276805232360).

1003130300000 is an abundant number, since it is smaller than the sum of its proper divisors (1550480164720).

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

1003130300000 is an frugal number, since it uses more digits than its factorization.

1003130300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345971 (or 345943 counting only the distinct ones).

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

Adding to 1003130300000 its reverse (30313001), we get a palindrome (1003160613001).

The spelling of 1003130300000 in words is "one trillion, three billion, one hundred thirty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 20000 23200 25000 29000 36250 50000 58000 72500 90625 100000 116000 145000 181250 290000 345907 362500 580000 691814 725000 1383628 1450000 1729535 2767256 2900000 3459070 5534512 6918140 8647675 10031303 11069024 13836280 17295350 20062606 27672560 34590700 40125212 43238375 50156515 55345120 69181400 80250424 86476750 100313030 138362800 160500848 172953500 200626060 216191875 250782575 276725600 321001696 345907000 401252120 432383750 501565150 691814000 802504240 864767500 1003130300 1080959375 1253912875 1383628000 1605008480 1729535000 2006260600 2161918750 2507825750 3459070000 4012521200 4323837500 5015651500 6269564375 6918140000 8025042400 8647675000 10031303000 12539128750 17295350000 20062606000 25078257500 31347821875 34590700000 40125212000 50156515000 62695643750 100313030000 125391287500 200626060000 250782575000 501565150000 1003130300000