Search a number
-
+
103100111300 = 225279127102761
BaseRepresentation
bin110000000000100111…
…1101101100111000100
3100212010020001022110202
41200001033231213010
53142122112030200
6115210305110032
710306626325604
oct1400117554704
9325106038422
10103100111300
113a7a736365a
1217b94028318
139950b76324
144dc0a86c04
152a364a61d5
hex18013ed9c4

103100111300 has 72 divisors (see below), whose sum is σ = 228345384960. Its totient is φ = 40397011200.

The previous prime is 103100111297. The next prime is 103100111321. The reversal of 103100111300 is 3111001301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951920 + ... + 1054680.

It is an arithmetic number, because the mean of its divisors is an integer number (3171463680).

Almost surely, 2103100111300 is an apocalyptic number.

103100111300 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 103100111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114172692480).

103100111300 is an abundant number, since it is smaller than the sum of its proper divisors (125245273660).

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

103100111300 is a wasteful number, since it uses less digits than its factorization.

103100111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102981 (or 102974 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 103100111300 its reverse (3111001301), we get a palindrome (106211112601).

The spelling of 103100111300 in words is "one hundred three billion, one hundred million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 127 158 254 316 395 508 635 790 1270 1580 1975 2540 3175 3950 6350 7900 10033 12700 20066 40132 50165 100330 102761 200660 205522 250825 411044 501650 513805 1003300 1027610 2055220 2569025 5138050 8118119 10276100 13050647 16236238 26101294 32472476 40590595 52202588 65253235 81181190 130506470 162362380 202952975 261012940 326266175 405905950 652532350 811811900 1031001113 1305064700 2062002226 4124004452 5155005565 10310011130 20620022260 25775027825 51550055650 103100111300