Search a number
-
+
103031112200 = 23521274638761
BaseRepresentation
bin101111111110100100…
…0100000001000001000
3100211221102012210111112
41133331020200020020
53142001431042300
6115155402145452
710305131001212
oct1377510401010
9324842183445
10103031112200
113a771416605
1217b74ab2288
13993c798263
144db58455b2
152a303c6e35
hex17fd220208

103031112200 has 96 divisors (see below), whose sum is σ = 241982607360. Its totient is φ = 40794969600.

The previous prime is 103031112193. The next prime is 103031112209. The reversal of 103031112200 is 2211130301.

It is not an unprimeable number, because it can be changed into a prime (103031112209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11755820 + ... + 11764580.

It is an arithmetic number, because the mean of its divisors is an integer number (2520652160).

Almost surely, 2103031112200 is an apocalyptic number.

103031112200 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 103031112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120991303680).

103031112200 is an abundant number, since it is smaller than the sum of its proper divisors (138951495160).

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

103031112200 is a wasteful number, since it uses less digits than its factorization.

103031112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103031112200 its reverse (2211130301), we get a palindrome (105242242501).

The spelling of 103031112200 in words is "one hundred three billion, thirty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 463 508 635 926 1016 1270 1852 2315 2540 3175 3704 4630 5080 6350 8761 9260 11575 12700 17522 18520 23150 25400 35044 43805 46300 58801 70088 87610 92600 117602 175220 219025 235204 294005 350440 438050 470408 588010 876100 1112647 1176020 1470025 1752200 2225294 2352040 2940050 4056343 4450588 5563235 5880100 8112686 8901176 11126470 11760200 16225372 20281715 22252940 27816175 32450744 40563430 44505880 55632350 81126860 101408575 111264700 162253720 202817150 222529400 405634300 515155561 811268600 1030311122 2060622244 2575777805 4121244488 5151555610 10303111220 12878889025 20606222440 25757778050 51515556100 103031112200