Search a number
-
+
200011311000 = 23325322223479
BaseRepresentation
bin1011101001000110011…
…0100110011110011000
3201010021010120100021100
42322101212212132120
511234110343423000
6231514532311400
720310316043454
oct2722146463630
9633233510240
10200011311000
1177908197336
123291b472560
1315b2677c687
1499757c7664
15530945aa00
hex2e919a6798

200011311000 has 96 divisors (see below), whose sum is σ = 676038261600. Its totient is φ = 53336347200.

The previous prime is 200011310999. The next prime is 200011311041. The reversal of 200011311000 is 113110002.

200011311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11102740 + ... + 11120739.

It is an arithmetic number, because the mean of its divisors is an integer number (7042065225).

Almost surely, 2200011311000 is an apocalyptic number.

200011311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011311000 is an abundant number, since it is smaller than the sum of its proper divisors (476026950600).

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

200011311000 is a wasteful number, since it uses less digits than its factorization.

200011311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22223506 (or 22223489 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 200011311000 its reverse (113110002), we get a palindrome (200124421002).

The spelling of 200011311000 in words is "two hundred billion, eleven million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 22223479 44446958 66670437 88893916 111117395 133340874 177787832 200011311 222234790 266681748 333352185 400022622 444469580 533363496 555586975 666704370 800045244 888939160 1000056555 1111173950 1333408740 1600090488 1666760925 2000113110 2222347900 2666817480 2777934875 3333521850 4000226220 4444695800 5000282775 5555869750 6667043700 8000452440 8333804625 10000565550 11111739500 13334087400 16667609250 20001131100 22223479000 25001413875 33335218500 40002262200 50002827750 66670437000 100005655500 200011311000