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200200200112101 = 37196148221170579
BaseRepresentation
bin101101100001010010111101…
…110011111100011111100101
3222020211221201011110111021010
4231201102331303330133211
5202220040002212041401
61545442411404412433
760111662406223650
oct5541227563743745
9866757634414233
10200200200112101
1158876478833752
121a554181b47119
138792a4aba4387
143761a54516897
1518229eed90ed6
hexb614bdcfc7e5

200200200112101 has 64 divisors (see below), whose sum is σ = 326396123596800. Its totient is φ = 106599514233600.

The previous prime is 200200200112097. The next prime is 200200200112123. The reversal of 200200200112101 is 101211002002002.

It is not a de Polignac number, because 200200200112101 - 22 = 200200200112097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200200112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173565630 + ... + 1173736208.

It is an arithmetic number, because the mean of its divisors is an integer number (5099939431200).

Almost surely, 2200200200112101 is an apocalyptic number.

200200200112101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200200200112101 is a deficient number, since it is larger than the sum of its proper divisors (126195923484699).

200200200112101 is a wasteful number, since it uses less digits than its factorization.

200200200112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218890.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200200200112101 its reverse (101211002002002), we get a palindrome (301411202114103).

The spelling of 200200200112101 in words is "two hundred trillion, two hundred billion, two hundred million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 7 19 21 57 61 133 183 399 427 1159 1281 3477 8113 24339 48221 144663 170579 337547 511737 916199 1012641 1194053 2748597 2941481 3241001 3582159 6413393 8824443 9723003 10405319 19240179 20590367 22687007 31215957 55888139 61771101 68061021 72837233 167664417 197701061 218511699 391216973 593103183 1173650919 1383907427 4151722281 8225489959 24676469877 57578429713 156284309221 172735289139 468852927663 501754887499 1093990164547 1505264662497 3281970493641 3512284212493 9533342862481 10536852637479 28600028587443 66733400037367 200200200112101