Search a number
-
+
102101110210200 = 23352787216224291
BaseRepresentation
bin10111001101110001000100…
…011001111011111010011000
3111101111202210220212020120210
4113031301010121323322120
5101340311033203211300
61001052334050251120
730335363456225253
oct2715610431737230
9441452726766523
10102101110210200
112a594923a41452
12b54ba67286aa0
1344c812a203b5a
141b2da11d5c09a
15bc0d3e1d8050
hex5cdc4467be98

102101110210200 has 96 divisors (see below), whose sum is σ = 316915620298560. Its totient is φ = 27192366710400.

The previous prime is 102101110210117. The next prime is 102101110210213. The reversal of 102101110210200 is 2012011101201.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107639946 + ... + 108584345.

It is an arithmetic number, because the mean of its divisors is an integer number (3301204378110).

Almost surely, 2102101110210200 is an apocalyptic number.

102101110210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101110210200 is an abundant number, since it is smaller than the sum of its proper divisors (214814510088360).

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

102101110210200 is a wasteful number, since it uses less digits than its factorization.

102101110210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216225097 (or 216225088 counting only the distinct ones).

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

Adding to 102101110210200 its reverse (2012011101201), we get a palindrome (104113121311401).

The spelling of 102101110210200 in words is "one hundred two trillion, one hundred one billion, one hundred ten 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 75 100 120 150 200 300 600 787 1574 2361 3148 3935 4722 6296 7870 9444 11805 15740 18888 19675 23610 31480 39350 47220 59025 78700 94440 118050 157400 236100 472200 216224291 432448582 648672873 864897164 1081121455 1297345746 1729794328 2162242910 2594691492 3243364365 4324485820 5189382984 5405607275 6486728730 8648971640 10811214550 12973457460 16216821825 21622429100 25946914920 32433643650 43244858200 64867287300 129734574600 170168517017 340337034034 510505551051 680674068068 850842585085 1021011102102 1361348136136 1701685170170 2042022204204 2552527755255 3403370340340 4084044408408 4254212925425 5105055510510 6806740680680 8508425850850 10210111021020 12762638776275 17016851701700 20420222042040 25525277552550 34033703403400 51050555105100 102101110210200