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315151150212140 = 22511137310321101089
BaseRepresentation
bin100011110101000001101100…
…0010110111110010000101100
31112022212011012112002022101212
41013222003120112332100230
5312301414023423242030
63034134234551253552
7123244630202404124
oct10752033026762054
91468764175068355
10315151150212140
11914649413595a0
122b41a4a267a2b8
13106b081a285538
1457b757b74bc84
152667c10a56595
hex11ea0d85be42c

315151150212140 has 96 divisors (see below), whose sum is σ = 722585629846080. Its totient is φ = 114504722841600.

The previous prime is 315151150212121. The next prime is 315151150212161. The reversal of 315151150212140 is 41212051151513.

It is a junction number, because it is equal to n+sod(n) for n = 315151150212097 and 315151150212106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3117510716 + ... + 3117611804.

It is an arithmetic number, because the mean of its divisors is an integer number (7526933644230).

Almost surely, 2315151150212140 is an apocalyptic number.

It is an amenable number.

315151150212140 is an abundant number, since it is smaller than the sum of its proper divisors (407434479633940).

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

315151150212140 is a wasteful number, since it uses less digits than its factorization.

315151150212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112803 (or 112801 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 32.

The spelling of 315151150212140 in words is "three hundred fifteen trillion, one hundred fifty-one billion, one hundred fifty million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1373 2746 5492 6865 10321 13730 15103 20642 27460 30206 41284 51605 60412 75515 101089 103210 113531 151030 202178 206420 227062 302060 404356 454124 505445 567655 1010890 1111979 1135310 2021780 2223958 2270620 4447916 5559895 11119790 14170733 22239580 28341466 56682932 70853665 138795197 141707330 155878063 277590394 283414660 311756126 555180788 623512252 693975985 779390315 1043339569 1387951970 1526747167 1558780630 2086679138 2775903940 3053494334 3117561260 4173358276 5216697845 6106988668 7633735835 10433395690 11476735259 15267471670 20866791380 22953470518 30534943340 45906941036 57383676295 114767352590 229534705180 1432505228237 2865010456474 5730020912948 7162526141185 14325052282370 15757557510607 28650104564740 31515115021214 63030230042428 78787787553035 157575575106070 315151150212140