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311311113111202 = 2174111338945711117
BaseRepresentation
bin100011011001000101100010…
…0010011111100011010100010
31111211021001101201210211112211
41012302023010103330122202
5311301010124424024302
63022034203453312334
7122400325410532141
oct10662130423743242
91454231351724484
10311311113111202
119021433553a656
122aaba219a956aa
1310492686b365c9
1456c3777025758
1525ecdb315aad7
hex11b22c44fc6a2

311311113111202 has 128 divisors (see below), whose sum is σ = 513457682512320. Its totient is φ = 140975324528640.

The previous prime is 311311113111133. The next prime is 311311113111211. The reversal of 311311113111202 is 202111311113113.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 104876258109921 + 206434855001281 = 10240911^2 + 14367841^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28003152948 + ... + 28003164064.

Almost surely, 2311311113111202 is an apocalyptic number.

311311113111202 is a deficient number, since it is larger than the sum of its proper divisors (202146569401118).

311311113111202 is a wasteful number, since it uses less digits than its factorization.

311311113111202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12136.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 311311113111202 its reverse (202111311113113), we get a palindrome (513422424224315).

The spelling of 311311113111202 in words is "three hundred eleven trillion, three hundred eleven billion, one hundred thirteen million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 17 34 41 82 113 226 389 457 697 778 914 1394 1921 3842 4633 6613 7769 9266 11117 13226 15538 15949 18737 22234 31898 37474 43957 51641 78761 87914 103282 157522 177773 188989 271133 318529 355546 377978 455797 542266 637058 747269 877897 911594 1256221 1494538 1755794 1802237 2117281 2512442 3022141 3604474 4234562 4324513 5080469 6044282 7288693 7748549 8649026 10160938 14577386 15497098 20088349 21355757 30638029 35993777 40176698 42711514 51505061 61276058 71987554 73516721 86367973 103010122 123907781 147033442 172735946 177305033 208299229 247815562 341501933 354610066 416598458 488669969 574092997 683003866 823622309 875586037 977339938 1148185994 1647244618 1751172074 1976302441 3014185561 3541086893 3952604882 6028371122 7082173786 8307389473 9759580949 14001579253 16614778946 19519161898 20035468729 23537812877 28003158506 33597141497 40070937458 47075625754 67194282994 81028400081 162056800162 223322175833 340602968393 400142818909 446644351666 681205936786 800285637818 1377482801377 2754965602754 3796476989161 7592953978322 9156209209153 18312418418306 155655556555601 311311113111202