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200144100132223 = 13217591891762417
BaseRepresentation
bin101101100000011110101101…
…111111100000010101111111
3222020122120220110110020100121
4231200132231333200111333
5202213130104113212343
61545400532535235411
760104635244243212
oct5540365577402577
9866576813406317
10200144100132223
11588546aa862515
121a545326218b67
13878a67a431300
14375d0519cd779
151821319c14aed
hexb607adfe057f

200144100132223 has 48 divisors (see below), whose sum is σ = 233378000811360. Its totient is φ = 170921939755008.

The previous prime is 200144100132217. The next prime is 200144100132227. The reversal of 200144100132223 is 322231001441002.

It is not a de Polignac number, because 200144100132223 - 229 = 200143563261311 is a prime.

It is a super-3 number, since 3×2001441001322233 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200144100132227) 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 47 ways as a sum of consecutive naturals, for example, 3206532711 + ... + 3206595127.

It is an arithmetic number, because the mean of its divisors is an integer number (4862041683570).

Almost surely, 2200144100132223 is an apocalyptic number.

200144100132223 is a deficient number, since it is larger than the sum of its proper divisors (33233900679137).

200144100132223 is a wasteful number, since it uses less digits than its factorization.

200144100132223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81436 (or 81423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 200144100132223 its reverse (322231001441002), we get a palindrome (522375101573225).

The spelling of 200144100132223 in words is "two hundred trillion, one hundred forty-four billion, one hundred million, one hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 13 17 59 169 221 767 1003 2873 9971 13039 18917 62417 169507 245921 321589 811421 1061089 1116103 3196973 3682603 4180657 10548473 13794157 14509339 18973751 47873839 54348541 62604251 179324041 188621407 246658763 622359907 813855263 1180742389 3206563919 10580118419 15349651057 20072620613 69663800951 199545463741 260944067969 905629412363 1184284616167 3392272883597 11773182360719 15395700010171 200144100132223