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103203226200 = 23352503341959
BaseRepresentation
bin110000000011101100…
…1000100001001011000
3100212101102002002112010
41200013121010021120
53142330011214300
6115224431145520
710312320643254
oct1400731041130
9325342062463
10103203226200
113a84a592388
12180026752a0
13996933a869
144dd0649264
152a40573a50
hex1807644258

103203226200 has 96 divisors (see below), whose sum is σ = 320566982400. Its totient is φ = 27466066560.

The previous prime is 103203226183. The next prime is 103203226229. The reversal of 103203226200 is 2622302301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130821 + ... + 472779.

It is an arithmetic number, because the mean of its divisors is an integer number (3339239400).

Almost surely, 2103203226200 is an apocalyptic number.

103203226200 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 103203226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160283491200).

103203226200 is an abundant number, since it is smaller than the sum of its proper divisors (217363756200).

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

103203226200 is a wasteful number, since it uses less digits than its factorization.

103203226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342481 (or 342472 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103203226200 its reverse (2622302301), we get a palindrome (105825528501).

The spelling of 103203226200 in words is "one hundred three billion, two hundred three million, two hundred twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 503 600 1006 1509 2012 2515 3018 4024 5030 6036 7545 10060 12072 12575 15090 20120 25150 30180 37725 50300 60360 75450 100600 150900 301800 341959 683918 1025877 1367836 1709795 2051754 2735672 3419590 4103508 5129385 6839180 8207016 8548975 10258770 13678360 17097950 20517540 25646925 34195900 41035080 51293850 68391800 102587700 172005377 205175400 344010754 516016131 688021508 860026885 1032032262 1376043016 1720053770 2064064524 2580080655 3440107540 4128129048 4300134425 5160161310 6880215080 8600268850 10320322620 12900403275 17200537700 20640645240 25800806550 34401075400 51601613100 103203226200