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2110113013200 = 2435211811488931
BaseRepresentation
bin11110101101001100100…
…010010101110111010000
321110201120101220111022020
4132231030202111313100
5234033002412410300
64253212245011440
7305310365450043
oct36551442256720
97421511814266
102110113013200
11743991870435
122a0b546b3b80
13123ca12acc9a
14741b6a90c5a
1539d4ee9a8a0
hex1eb4c895dd0

2110113013200 has 120 divisors (see below), whose sum is σ = 6765123346656. Its totient is φ = 562219968000.

The previous prime is 2110113013199. The next prime is 2110113013207. The reversal of 2110113013200 is 23103110112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110113013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110113013207) 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, 672735 + ... + 2161665.

Almost surely, 22110113013200 is an apocalyptic number.

2110113013200 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 2110113013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382561673328).

2110113013200 is an abundant number, since it is smaller than the sum of its proper divisors (4655010333456).

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

2110113013200 is a wasteful number, since it uses less digits than its factorization.

2110113013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490133 (or 1490122 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2110113013200 its reverse (23103110112), we get a palindrome (2133216123312).

The spelling of 2110113013200 in words is "two trillion, one hundred ten billion, one hundred thirteen million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1181 1200 2362 3543 4724 5905 7086 9448 11810 14172 17715 18896 23620 28344 29525 35430 47240 56688 59050 70860 88575 94480 118100 141720 177150 236200 283440 354300 472400 708600 1417200 1488931 2977862 4466793 5955724 7444655 8933586 11911448 14889310 17867172 22333965 23822896 29778620 35734344 37223275 44667930 59557240 71468688 74446550 89335860 111669825 119114480 148893100 178671720 223339650 297786200 357343440 446679300 595572400 893358600 1758427511 1786717200 3516855022 5275282533 7033710044 8792137555 10550565066 14067420088 17584275110 21101130132 26376412665 28134840176 35168550220 42202260264 43960687775 52752825330 70337100440 84404520528 87921375550 105505650660 131882063325 140674200880 175842751100 211011301320 263764126650 351685502200 422022602640 527528253300 703371004400 1055056506600 2110113013200