Search a number
-
+
1013200203000 = 233533083109547
BaseRepresentation
bin11101011111001110111…
…00000010110011111000
310120212020122221012211110
432233213130002303320
5113100013222444000
62053242512400320
7133126021424616
oct16574734026370
93525218835743
101013200203000
11360772111877
121444468460a0
137470cc9604b
14370796086b6
151b550562850
hexebe7702cf8

1013200203000 has 128 divisors (see below), whose sum is σ = 3162238859520. Its totient is φ = 270096617600.

The previous prime is 1013200202999. The next prime is 1013200203011. The reversal of 1013200203000 is 3020023101.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9194227 + ... + 9303773.

It is an arithmetic number, because the mean of its divisors is an integer number (24704991090).

Almost surely, 21013200203000 is an apocalyptic number.

1013200203000 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 1013200203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581119429760).

1013200203000 is an abundant number, since it is smaller than the sum of its proper divisors (2149038656520).

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

1013200203000 is a wasteful number, since it uses less digits than its factorization.

1013200203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112654 (or 112640 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1013200203000 its reverse (3020023101), we get a palindrome (1016220226101).

The spelling of 1013200203000 in words is "one trillion, thirteen billion, two hundred million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3083 6166 9249 12332 15415 18498 24664 30830 36996 46245 61660 73992 77075 92490 109547 123320 154150 184980 219094 231225 308300 328641 369960 385375 438188 462450 547735 616600 657282 770750 876376 924900 1095470 1156125 1314564 1541500 1643205 1849800 2190940 2312250 2629128 2738675 3083000 3286410 4381880 4624500 5477350 6572820 8216025 9249000 10954700 13145640 13693375 16432050 21909400 27386750 32864100 41080125 54773500 65728200 82160250 109547000 164320500 328641000 337733401 675466802 1013200203 1350933604 1688667005 2026400406 2701867208 3377334010 4052800812 5066001015 6754668020 8105601624 8443335025 10132002030 13509336040 16886670050 20264004060 25330005075 33773340100 40528008120 42216675125 50660010150 67546680200 84433350250 101320020300 126650025375 168866700500 202640040600 253300050750 337733401000 506600101500 1013200203000