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200301201331231 = 7111329311709130241
BaseRepresentation
bin101101100010110001000001…
…111101000001010000011111
3222021012121102010002000221211
4231202301001331001100133
5202223213330020044411
61550001033535205251
760122166331351450
oct5542610175012037
9867177363060854
10200301201331231
1158905298345580
121a56b86b076827
13879c425c59b70
1437668b6521127
151825461e4d221
hexb62c41f4141f

200301201331231 has 128 divisors (see below), whose sum is σ = 287354279116800. Its totient is φ = 134537711616000.

The previous prime is 200301201331213. The next prime is 200301201331237. The reversal of 200301201331231 is 132133102103002.

It is not a de Polignac number, because 200301201331231 - 223 = 200301192942623 is a prime.

It is a super-2 number, since 2×2003012013312312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200301201331237) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1537862271 + ... + 1537992511.

It is an arithmetic number, because the mean of its divisors is an integer number (2244955305600).

Almost surely, 2200301201331231 is an apocalyptic number.

200301201331231 is a deficient number, since it is larger than the sum of its proper divisors (87053077785569).

200301201331231 is a wasteful number, since it uses less digits than its factorization.

200301201331231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132041.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 200301201331231 its reverse (132133102103002), we get a palindrome (332434303434233).

The spelling of 200301201331231 in words is "two hundred trillion, three hundred one billion, two hundred one million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 11 13 29 31 77 91 143 203 217 319 341 377 403 899 1001 1709 2233 2387 2639 2821 4147 4433 6293 9889 11687 11963 18799 22217 29029 31031 49561 52979 69223 81809 128557 130241 131593 155519 244387 346927 370853 545171 582769 644293 688727 899899 911687 1432651 1536391 1693133 1710709 3776989 3816197 4037471 4079383 4510051 4821089 7087223 7575997 10028557 10754737 11851931 16900301 18624463 19973083 26438923 28262297 41546879 44412181 49100857 49610561 52487123 53031979 117086659 118302107 130371241 139811581 219703913 222581869 290828153 310885267 343705999 367409861 540109427 577358353 819606613 1287953249 1522126567 1537927391 1558073083 2448400559 2893564297 3780765989 4041508471 6454874201 6900037939 9015672743 10654885969 16743392237 17138803913 20254950079 31829207267 45184119407 48300265573 71003616211 75900417329 83913364613 89700493207 117203745659 200101100231 222804450869 497025313477 531302921303 587393552291 627903452449 923047010743 986705425277 1400707701617 2201112102541 2601314303003 6461329075201 6906937976939 15407784717787 18209200121021 28614457333033 200301201331231