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312032110112112 = 2431315132173102931
BaseRepresentation
bin100011011110010101010001…
…1000101001110110101110000
31111220210222102020212101200010
41012330222203011032311300
5311344313230142041422
63023345323353254520
7122503401400112565
oct10674524305166560
91456728366771603
10312032110112112
1190472090552865
122abb5ab6404440
131051566a3a8230
14570a612bbc86c
152611a1076bb0c
hex11bcaa314ed70

312032110112112 has 160 divisors (see below), whose sum is σ = 873873918378496. Its totient is φ = 95370162048000.

The previous prime is 312032110112087. The next prime is 312032110112123. The reversal of 312032110112112 is 211211011230213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3031417287 + ... + 3031520217.

Almost surely, 2312032110112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312032110112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436936959189248).

312032110112112 is an abundant number, since it is smaller than the sum of its proper divisors (561841808266384).

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

312032110112112 is a wasteful number, since it uses less digits than its factorization.

312032110112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135279 (or 135273 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 312032110112112 its reverse (211211011230213), we get a palindrome (523243121342325).

The spelling of 312032110112112 in words is "three hundred twelve trillion, thirty-two billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 151 156 208 302 312 453 604 624 906 1208 1812 1963 2416 3624 3926 5889 7248 7852 11778 15704 23556 31408 32173 47112 64346 94224 96519 102931 128692 193038 205862 257384 308793 386076 411724 418249 514768 617586 772152 823448 836498 1235172 1254747 1338103 1544304 1646896 1672996 2470344 2509494 2676206 3345992 4014309 4858123 4940688 5018988 5352412 6691984 8028618 9716246 10037976 10704824 14574369 15542581 16057236 19432492 20075952 21409648 29148738 31085162 32114472 38864984 46627743 58297476 62170324 63155599 64228944 77729968 93255486 116594952 124340648 126311198 186510972 189466797 202053553 233189904 248681296 252622396 373021944 378933594 404107106 505244792 606160659 746043888 757867188 808214212 1010489584 1212321318 1515734376 1616428424 2424642636 3031468752 3232856848 3311599063 4849285272 6623198126 9698570544 9934797189 13246396252 19869594378 26492792504 39739188756 43050787819 52985585008 79478377512 86101575638 129152363457 158956755024 172203151276 258304726914 344406302552 500051458513 516609453828 688812605104 1000102917026 1033218907656 1500154375539 2000205834052 2066437815312 3000308751078 4000411668104 6000617502156 6500668960669 8000823336208 12001235004312 13001337921338 19502006882007 24002470008624 26002675842676 39004013764014 52005351685352 78008027528028 104010703370704 156016055056056 312032110112112