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2012233013241 = 31143101103271503
BaseRepresentation
bin11101010010000010011…
…011110001011111111001
321010100220222102022101120
4131102002123301133321
5230432023122410431
64140223532535453
7265244003254503
oct35220233613771
97110828368346
102012233013241
11706424093790
12285b98921589
131179a2a71849
146d56d404d73
1537521e29196
hex1d4826f17f9

2012233013241 has 128 divisors (see below), whose sum is σ = 3071332712448. Its totient is φ = 1161306720000.

The previous prime is 2012233013201. The next prime is 2012233013261. The reversal of 2012233013241 is 1423103322102.

It is not a de Polignac number, because 2012233013241 - 215 = 2012232980473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2012233013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4000462996 + ... + 4000463498.

It is an arithmetic number, because the mean of its divisors is an integer number (23994786816).

Almost surely, 22012233013241 is an apocalyptic number.

It is an amenable number.

2012233013241 is a deficient number, since it is larger than the sum of its proper divisors (1059099699207).

2012233013241 is a wasteful number, since it uses less digits than its factorization.

2012233013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2012233013241 its reverse (1423103322102), we get a palindrome (3435336335343).

The spelling of 2012233013241 in words is "two trillion, twelve billion, two hundred thirty-three million, thirteen thousand, two hundred forty-one".

Divisors: 1 3 11 33 43 101 103 129 271 303 309 473 503 813 1111 1133 1419 1509 2981 3333 3399 4343 4429 5533 8943 10403 11653 13029 13287 16599 21629 27371 27913 31209 34959 47773 48719 50803 51809 64887 82113 83739 114433 128183 136313 143319 146157 152409 155427 237919 301081 307043 343299 384549 408939 447329 558833 569899 713757 903243 921129 1176953 1200259 1341987 1499443 1676499 1709697 2184529 2227787 2819213 3530859 3600777 4498329 4920619 5232709 5861459 6553587 6683361 8457639 12946483 13202849 13767613 14040239 14761857 15698127 17584377 24029819 24505657 31011343 38839449 39608547 41302839 42120717 57559799 64476049 72089457 73516971 93034029 121226159 151443743 154442629 172679397 193428147 225006487 363678477 454331229 463327887 592007359 603730277 675019461 1333487749 1418064139 1776022077 1811190831 2475071357 4000463247 4254192417 6512080949 6641033047 7425214071 15598705529 19536242847 19923099141 46796116587 60976757977 182930273931 670744337747 2012233013241