Search a number
-
+
12103113210200 = 2352108007560293
BaseRepresentation
bin1011000000011111100111…
…0000110111100101011000
31120212001020202202220120122
42300013321300313211120
53041244133440211300
641424032104012412
72356264266565415
oct260077160674530
946761222686518
1012103113210200
1139469a09748a1
1214357b8161108
1369a41b1a112c
142dbb182b510c
1515ec6a612c85
hexb01f9c37958

12103113210200 has 48 divisors (see below), whose sum is σ = 28140048973680. Its totient is φ = 4841191820160.

The previous prime is 12103113210193. The next prime is 12103113210203. The reversal of 12103113210200 is 201231130121.

12103113210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121031132102003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103113210203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21321254 + ... + 21881546.

It is an arithmetic number, because the mean of its divisors is an integer number (586251020285).

Almost surely, 212103113210200 is an apocalyptic number.

12103113210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103113210200 is an abundant number, since it is smaller than the sum of its proper divisors (16036935763480).

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

12103113210200 is a wasteful number, since it uses less digits than its factorization.

12103113210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668316 (or 668307 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12103113210200 its reverse (201231130121), we get a palindrome (12304344340321).

The spelling of 12103113210200 in words is "twelve trillion, one hundred three billion, one hundred thirteen million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 108007 216014 432028 540035 560293 864056 1080070 1120586 2160140 2241172 2700175 2801465 4320280 4482344 5400350 5602930 10800700 11205860 14007325 21601400 22411720 28014650 56029300 112058600 60515566051 121031132102 242062264204 302577830255 484124528408 605155660510 1210311321020 1512889151275 2420622642040 3025778302550 6051556605100 12103113210200