Search a number
-
+
10010010012200 = 23521111340265527
BaseRepresentation
bin1001000110101010001100…
…0101110100101000101000
31022102221120210211120002222
42101222203011310220220
52303001000030342300
633142311330213212
72052125244136322
oct221524305645050
938387523746088
1010010010012200
11320a248767380
121158010124208
13577c2ac3cc73
142686b673a612
151255b3b2c785
hex91aa3174a28

10010010012200 has 96 divisors (see below), whose sum is σ = 25613707671360. Its totient is φ = 3607791129600.

The previous prime is 10010010012157. The next prime is 10010010012203. The reversal of 10010010012200 is 221001001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10010010012203) 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, 19884164 + ... + 20381363.

It is an arithmetic number, because the mean of its divisors is an integer number (266809454910).

Almost surely, 210010010012200 is an apocalyptic number.

10010010012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010010012200 is an abundant number, since it is smaller than the sum of its proper divisors (15603697659160).

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

10010010012200 is a wasteful number, since it uses less digits than its factorization.

10010010012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40265667 (or 40265658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010010012200 its reverse (221001001001), we get a palindrome (10231011013201).

The spelling of 10010010012200 in words is "ten trillion, ten billion, ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 200 220 226 275 440 452 550 565 904 1100 1130 1243 2200 2260 2486 2825 4520 4972 5650 6215 9944 11300 12430 22600 24860 31075 49720 62150 124300 248600 40265527 80531054 161062108 201327635 322124216 402655270 442920797 805310540 885841594 1006638175 1610621080 1771683188 2013276350 2214603985 3543366376 4026552700 4429207970 4550004551 8053105400 8858415940 9100009102 11073019925 17716831880 18200018204 22146039850 22750022755 36400036408 44292079700 45500045510 50050050061 88584159400 91000091020 100100100122 113750113775 182000182040 200200200244 227500227550 250250250305 400400400488 455000455100 500500500610 910000910200 1001001001220 1251251251525 2002002002440 2502502503050 5005005006100 10010010012200