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102424223100 = 223521720083181
BaseRepresentation
bin101111101100011110…
…1011001110101111100
3100210101010020122011110
41133120331121311330
53134231100114400
6115015242322020
710254111350223
oct1373075316574
9323333218143
10102424223100
113a48a892871
1217a257b9310
139873b29a94
144d58dc7cba
1529e6e97e50
hex17d8f59d7c

102424223100 has 72 divisors (see below), whose sum is σ = 313779635568. Its totient is φ = 25706470400.

The previous prime is 102424223089. The next prime is 102424223101. The reversal of 102424223100 is 1322424201.

It is a super-2 number, since 2×1024242231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102424223101) 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, 10036491 + ... + 10046690.

It is an arithmetic number, because the mean of its divisors is an integer number (4358050494).

Almost surely, 2102424223100 is an apocalyptic number.

102424223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102424223100 is an abundant number, since it is smaller than the sum of its proper divisors (211355412468).

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

102424223100 is a wasteful number, since it uses less digits than its factorization.

102424223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20083215 (or 20083208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102424223100 its reverse (1322424201), we get a palindrome (103746647301).

The spelling of 102424223100 in words is "one hundred two billion, four hundred twenty-four million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 20083181 40166362 60249543 80332724 100415905 120499086 200831810 240998172 301247715 341414077 401663620 502079525 602495430 682828154 1004159050 1024242231 1204990860 1365656308 1506238575 1707070385 2008318100 2048484462 3012477150 3414140770 4096968924 5121211155 6024954300 6828281540 8535351925 10242422310 17070703850 20484844620 25606055775 34141407700 51212111550 102424223100