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2102244100 = 22521117311047
BaseRepresentation
bin111110101001101…
…1011001100000100
312102111202001202121
41331103123030010
513301133302400
6544334215324
7103044531355
oct17523331404
95374661677
102102244100
11989731120
124a8054544
132766c5428
1415d2b1d2c
15c485c21a
hex7d4db304

2102244100 has 72 divisors (see below), whose sum is σ = 5005804608. Its totient is φ = 759964800.

The previous prime is 2102244097. The next prime is 2102244149. The reversal of 2102244100 is 14422012.

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, 184777 + ... + 195823.

It is an arithmetic number, because the mean of its divisors is an integer number (69525064).

Almost surely, 22102244100 is an apocalyptic number.

2102244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502902304).

2102244100 is an abundant number, since it is smaller than the sum of its proper divisors (2903560508).

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

2102244100 is a wasteful number, since it uses less digits than its factorization.

2102244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2102244100 is about 45850.2355501038. The cubic root of 2102244100 is about 1281.0351530294.

Adding to 2102244100 its reverse (14422012), we get a palindrome (2116666112).

The spelling of 2102244100 in words is "two billion, one hundred two million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 173 220 275 346 550 692 865 1100 1730 1903 3460 3806 4325 7612 8650 9515 11047 17300 19030 22094 38060 44188 47575 55235 95150 110470 121517 190300 220940 243034 276175 486068 552350 607585 1104700 1215170 1911131 2430340 3037925 3822262 6075850 7644524 9555655 12151700 19111310 21022441 38222620 42044882 47778275 84089764 95556550 105112205 191113100 210224410 420448820 525561025 1051122050 2102244100