Search a number
-
+
102100111210200 = 233521011684820317
BaseRepresentation
bin10111001101110000001000…
…110111000011011011011000
3111101111200020022001210012210
4113031300020313003123120
5101340302011432211300
61001052051002235120
730335326635660645
oct2715601067033330
9441450208053183
10102100111210200
112a594461040a14
12b54b8287b5aa0
1344c7ccb256bac
141b2d9593d0dcc
15bc0cd1653050
hex5cdc08dc36d8

102100111210200 has 96 divisors (see below), whose sum is σ = 319644110730960. Its totient is φ = 26957125056000.

The previous prime is 102100111210177. The next prime is 102100111210241. The reversal of 102100111210200 is 2012111001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842349559 + ... + 842470758.

Almost surely, 2102100111210200 is an apocalyptic number.

102100111210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100111210200 is an abundant number, since it is smaller than the sum of its proper divisors (217543999520760).

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

102100111210200 is a wasteful number, since it uses less digits than its factorization.

102100111210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684820437 (or 1684820428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102100111210200 its reverse (2012111001201), we get a palindrome (104112222211401).

The spelling of 102100111210200 in words is "one hundred two trillion, one hundred billion, one hundred eleven 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 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 1684820317 3369640634 5054460951 6739281268 8424101585 10108921902 13478562536 16848203170 20217843804 25272304755 33696406340 40435687608 42120507925 50544609510 67392812680 84241015850 101089219020 126361523775 168482031700 170166852017 202178438040 252723047550 336964063400 340333704034 505446095100 510500556051 680667408068 850834260085 1010892190200 1021001112102 1361334816136 1701668520170 2042002224204 2552502780255 3403337040340 4084004448408 4254171300425 5105005560510 6806674080680 8508342600850 10210011121020 12762513901275 17016685201700 20420022242040 25525027802550 34033370403400 51050055605100 102100111210200