Search a number
-
+
102012121210200 = 23352283600778099
BaseRepresentation
bin10111001100011110001100…
…001111110101110101011000
3111101012021010010100122201220
4113030132030033311311120
5101332331311012211300
61000543415503212040
730326063314215465
oct2714361417656530
9441167103318656
10102012121210200
112a560108a77653
12b536770ba7020
1344bc9179a0836
141b295ad43266c
15bbd8819b1da0
hex5cc78c3f5d58

102012121210200 has 96 divisors (see below), whose sum is σ = 317355023544000. Its totient is φ = 27107107781760.

The previous prime is 102012121210199. The next prime is 102012121210249. The reversal of 102012121210200 is 2012121210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102012121210200.

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, 300219250 + ... + 300558849.

It is an arithmetic number, because the mean of its divisors is an integer number (3305781495250).

Almost surely, 2102012121210200 is an apocalyptic number.

102012121210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012121210200 is an abundant number, since it is smaller than the sum of its proper divisors (215342902333800).

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

102012121210200 is a wasteful number, since it uses less digits than its factorization.

102012121210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600778401 (or 600778392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102012121210200 its reverse (2012121210201), we get a palindrome (104024242420401).

Subtracting from 102012121210200 its reverse (2012121210201), we obtain a palindrome (99999999999999).

The spelling of 102012121210200 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 283 300 566 600 849 1132 1415 1698 2264 2830 3396 4245 5660 6792 7075 8490 11320 14150 16980 21225 28300 33960 42450 56600 84900 169800 600778099 1201556198 1802334297 2403112396 3003890495 3604668594 4806224792 6007780990 7209337188 9011671485 12015561980 14418674376 15019452475 18023342970 24031123960 30038904950 36046685940 45058357425 60077809900 72093371880 90116714850 120155619800 170020202017 180233429700 340040404034 360466859400 510060606051 680080808068 850101010085 1020121212102 1360161616136 1700202020170 2040242424204 2550303030255 3400404040340 4080484848408 4250505050425 5100606060510 6800808080680 8501010100850 10201212121020 12751515151275 17002020201700 20402424242040 25503030302550 34004040403400 51006060605100 102012121210200