Search a number
-
+
313111102200 = 233521340142449
BaseRepresentation
bin1001000111001101110…
…00000100001011111000
31002221012020210000202220
410203212320010023320
520112222420232300
6355501413324040
731423120312161
oct4434670041370
91087166700686
10313111102200
11110876066456
1250824336620
13236ac230550
141122454c768
158228759da0
hex48e6e042f8

313111102200 has 96 divisors (see below), whose sum is σ = 1045309398000. Its totient is φ = 77073500160.

The previous prime is 313111102189. The next prime is 313111102207. The reversal of 313111102200 is 2201111313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313111102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313111102207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20063425 + ... + 20079024.

Almost surely, 2313111102200 is an apocalyptic number.

313111102200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313111102200 is an abundant number, since it is smaller than the sum of its proper divisors (732198295800).

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

313111102200 is a wasteful number, since it uses less digits than its factorization.

313111102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40142481 (or 40142472 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 313111102200 its reverse (2201111313), we get a palindrome (315312213513).

The spelling of 313111102200 in words is "three hundred thirteen billion, one hundred eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 40142449 80284898 120427347 160569796 200712245 240854694 321139592 401424490 481709388 521851837 602136735 802848980 963418776 1003561225 1043703674 1204273470 1565555511 1605697960 2007122450 2087407348 2408546940 2609259185 3010683675 3131111022 4014244900 4174814696 4817093880 5218518370 6021367350 6262222044 7827777555 8028489800 10437036740 12042734700 12524444088 13046295925 15655555110 20874073480 24085469400 26092591850 31311110220 39138887775 52185183700 62622220440 78277775550 104370367400 156555551100 313111102200