Search a number
-
+
12104267430200 = 23521143127952087
BaseRepresentation
bin1011000000100011111010…
…0011110111100100111000
31120212011020012122100202112
42300020332203313210320
53041304014430231300
641424342414551452
72356335013363331
oct260107643674470
946764205570675
1012104267430200
113947433452420
121435a7a808588
1369a573356c4a
142dbbc76c9288
1515ecd6b08e35
hexb023e8f7938

12104267430200 has 96 divisors (see below), whose sum is σ = 31414796645760. Its totient is φ = 4299190089600.

The previous prime is 12104267430197. The next prime is 12104267430239. The reversal of 12104267430200 is 203476240121.

12104267430200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 63881444 + ... + 64070643.

It is an arithmetic number, because the mean of its divisors is an integer number (327237465060).

Almost surely, 212104267430200 is an apocalyptic number.

12104267430200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104267430200 is an abundant number, since it is smaller than the sum of its proper divisors (19310529215560).

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

12104267430200 is a wasteful number, since it uses less digits than its factorization.

12104267430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127952157 (or 127952148 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 12104267430200 in words is "twelve trillion, one hundred four billion, two hundred sixty-seven million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 127952087 255904174 511808348 639760435 1023616696 1279520870 1407472957 2559041740 2814945914 3198802175 5118083480 5501939741 5629891828 6397604350 7037364785 11003879482 11259783656 12795208700 14074729570 22007758964 25590417400 27509698705 28149459140 35186823925 44015517928 55019397410 56298918280 60521337151 70373647850 110038794820 121042674302 137548493525 140747295700 220077589640 242085348604 275096987050 281494591400 302606685755 484170697208 550193974100 605213371510 1100387948200 1210426743020 1513033428775 2420853486040 3026066857550 6052133715100 12104267430200