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3112331012131 = 1129416197131307
BaseRepresentation
bin101101010010100101011…
…000100110100000100011
3102000112110200212221022211
4231102211120212200203
5401443023214342011
610341441330542551
7440600315051215
oct55224530464043
912015420787284
103112331012131
11a9aa287997a0
12423235437a57
13197650c3c813
14aa8cd8dc5b5
1555e5b2d6b21
hex2d4a5626823

3112331012131 has 128 divisors (see below), whose sum is σ = 3735030942720. Its totient is φ = 2566287360000.

The previous prime is 3112331012117. The next prime is 3112331012173. The reversal of 3112331012131 is 1312101332113.

It is a cyclic number.

It is not a de Polignac number, because 3112331012131 - 25 = 3112331012099 is a prime.

It is a super-2 number, since 2×31123310121312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3112331012191) 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, 10137885880 + ... + 10137886186.

It is an arithmetic number, because the mean of its divisors is an integer number (29179929240).

Almost surely, 23112331012131 is an apocalyptic number.

3112331012131 is a deficient number, since it is larger than the sum of its proper divisors (622699930589).

3112331012131 is a wasteful number, since it uses less digits than its factorization.

3112331012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 3112331012131 its reverse (1312101332113), we get a palindrome (4424432344244).

The spelling of 3112331012131 in words is "three trillion, one hundred twelve billion, three hundred thirty-one million, twelve thousand, one hundred thirty-one".

Divisors: 1 11 29 41 61 97 131 307 319 451 671 1067 1189 1441 1769 2501 2813 3377 3799 3977 5371 5917 7991 8903 12587 12707 13079 18727 19459 27511 29779 30943 40217 41789 43747 59081 65087 72529 87901 97933 115333 138457 139777 155759 171593 205997 231739 242597 327569 327631 365023 368503 442387 520987 543083 767807 775127 797819 863591 1166293 1220939 1268663 1648897 1713349 1816519 1887523 2453237 2549129 2668567 3603941 3901049 4015253 4053533 5730857 5973913 7035313 8445877 8526397 9499501 9501299 12829223 13430329 15108623 18137867 19981709 22266403 22478683 26985607 31780207 35407231 42911539 47818013 52679051 71143873 74477279 77388443 100582717 104514289 113130421 159943009 166194853 237963989 244930433 247265513 349582277 389479541 525998143 579469561 782582603 819250069 921626003 1106409887 1244434631 1759373099 2159841091 2617603879 2916898793 4638347261 6900955681 9756523549 10137886033 23758252001 32085886723 51021819871 75910512491 107321759039 282939182921 3112331012131