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311442130121112 = 233297371591200077
BaseRepresentation
bin100011011010000010100010…
…1100010001011000110011000
31111211201120120112102112111100
41012310011011202023012120
5311310131440302333422
63022214312302431400
7122412644213664024
oct10664050542130630
91454646515375440
10311442130121112
11902649581a0341
122ab1b6a3292560
13104a1b36622743
1456c9c455c9384
1526014d04107ac
hex11b414588b198

311442130121112 has 96 divisors (see below), whose sum is σ = 852208509952800. Its totient is φ = 102740944914432.

The previous prime is 311442130121107. The next prime is 311442130121113. The reversal of 311442130121112 is 211121031244113.

311442130121112 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 421 + 3 + 0 + 121 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311442130121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258918418 + ... + 260118494.

It is an arithmetic number, because the mean of its divisors is an integer number (8877171978675).

Almost surely, 2311442130121112 is an apocalyptic number.

It is an amenable number.

311442130121112 is an abundant number, since it is smaller than the sum of its proper divisors (540766379831688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311442130121112 is a wasteful number, since it uses less digits than its factorization.

311442130121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237345 (or 1237338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 311442130121112 its reverse (211121031244113), we get a palindrome (522563161365225).

The spelling of 311442130121112 in words is "three hundred eleven trillion, four hundred forty-two billion, one hundred thirty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 37159 74318 111477 148636 222954 297272 334431 445908 668862 891816 1200077 1337724 2400154 2675448 3600231 3604423 4800308 7200462 7208846 9600616 10800693 10813269 14400924 14417692 21601386 21626538 28801848 28835384 32439807 43202772 43253076 64879614 86405544 86506152 116407469 129759228 232814938 259518456 349222407 465629876 698444814 931259752 1047667221 1396889628 2095334442 2793779256 4190668884 8381337768 44593661243 89187322486 133780983729 178374644972 267561967458 356749289944 401342951187 535123934916 802685902374 1070247869832 1605371804748 3210743609496 4325585140571 8651170281142 12976755421713 17302340562284 25953510843426 34604681124568 38930266265139 51907021686852 77860532530278 103814043373704 155721065060556 311442130121112