Search a number
-
+
1003200513320 = 235891392027323
BaseRepresentation
bin11101001100100110110…
…10010000010100101000
310112220102202202100101102
432212103122100110220
5112414023312411240
62044510340340532
7132323146444445
oct16462332202450
93486382670342
101003200513320
11357500599a25
121425159a4748
13737a8386bc5
14367ab5269cc
151b167716815
hexe993690528

1003200513320 has 64 divisors (see below), whose sum is σ = 2298985416000. Its totient is φ = 393916773888.

The previous prime is 1003200513307. The next prime is 1003200513443. The reversal of 1003200513320 is 233150023001.

It is a super-2 number, since 2×10032005133202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1003200513292 and 1003200513301.

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 15 ways as a sum of consecutive naturals, for example, 518822 + ... + 1508501.

It is an arithmetic number, because the mean of its divisors is an integer number (35921647125).

Almost surely, 21003200513320 is an apocalyptic number.

1003200513320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003200513320 is an abundant number, since it is smaller than the sum of its proper divisors (1295784902680).

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

1003200513320 is a wasteful number, since it uses less digits than its factorization.

1003200513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027562 (or 2027558 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 1003200513320 its reverse (233150023001), we get a palindrome (1236350536321).

The spelling of 1003200513320 in words is "one trillion, three billion, two hundred million, five hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 139 178 278 356 445 556 695 712 890 1112 1390 1780 2780 3560 5560 12371 24742 49484 61855 98968 123710 247420 494840 2027323 4054646 8109292 10136615 16218584 20273230 40546460 81092920 180431747 281797897 360863494 563595794 721726988 902158735 1127191588 1408989485 1443453976 1804317470 2254383176 2817978970 3608634940 5635957940 7217269880 11271915880 25080012833 50160025666 100320051332 125400064165 200640102664 250800128330 501600256660 1003200513320