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20110210000100 = 2252111011791011229
BaseRepresentation
bin1001001001010010001011…
…11011000110010011100100
32122012111222010000121000022
410210221011323012103210
510113441202230000400
6110434300344534312
74143625515406343
oct444510573062344
978174863017008
1020110210000100
116453768300350
1223095b0781398
13b2b50015984c
144d74a72a7b5a
1524d1a5610b85
hex124a45ec64e4

20110210000100 has 144 divisors (see below), whose sum is σ = 48346340011200. Its totient is φ = 7199943360000.

The previous prime is 20110210000093. The next prime is 20110210000169. The reversal of 20110210000100 is 100001201102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19381286 + ... + 20392514.

It is an arithmetic number, because the mean of its divisors is an integer number (335738472300).

Almost surely, 220110210000100 is an apocalyptic number.

20110210000100 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 20110210000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173170005600).

20110210000100 is an abundant number, since it is smaller than the sum of its proper divisors (28236130011100).

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

20110210000100 is a wasteful number, since it uses less digits than its factorization.

20110210000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011534 (or 1011527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20110210000100 its reverse (100001201102), we get a palindrome (20210211201202).

The spelling of 20110210000100 in words is "twenty trillion, one hundred ten billion, two hundred ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 179 202 220 275 358 404 505 550 716 895 1010 1100 1111 1790 1969 2020 2222 2525 3580 3938 4444 4475 5050 5555 7876 8950 9845 10100 11110 17900 18079 19690 22220 27775 36158 39380 49225 55550 72316 90395 98450 111100 180790 196900 198869 361580 397738 451975 795476 903950 994345 1011229 1807900 1988690 2022458 3977380 4044916 4971725 5056145 9943450 10112290 11123519 19886900 20224580 22247038 25280725 44494076 50561450 55617595 101122900 102134129 111235190 181009991 204268258 222470380 278087975 362019982 408536516 510670645 556175950 724039964 905049955 1021341290 1112351900 1123475419 1810099910 1991109901 2042682580 2246950838 2553353225 3620199820 3982219802 4493901676 4525249775 5106706450 5617377095 7964439604 9050499550 9955549505 10213412900 11234754190 18100999100 18282009091 19911099010 22469508380 28086885475 36564018182 39822198020 49777747525 56173770950 73128036364 91410045455 99555495050 112347541900 182820090910 199110990100 201102100001 365640181820 402204200002 457050227275 804408400004 914100454550 1005510500005 1828200909100 2011021000010 4022042000020 5027552500025 10055105000050 20110210000100