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10131331310112 = 2537910312969731
BaseRepresentation
bin1001001101101110001001…
…1001110110001000100000
31022212112201220021001121010
42103123202121312020200
52311442431303410422
633314134102500520
72063651556145245
oct223334231661040
938775656231533
1010131331310112
113256745446141
12117762a434740
135864c3aab3cc
142705053495cc
15128814acdb0c
hex936e2676220

10131331310112 has 96 divisors (see below), whose sum is σ = 27192858900480. Its totient is φ = 3301989500160.

The previous prime is 10131331310027. The next prime is 10131331310123. The reversal of 10131331310112 is 21101313313101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5703714 + ... + 7266017.

It is an arithmetic number, because the mean of its divisors is an integer number (283258946880).

Almost surely, 210131331310112 is an apocalyptic number.

10131331310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131331310112 is an abundant number, since it is smaller than the sum of its proper divisors (17061527590368).

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

10131331310112 is a wasteful number, since it uses less digits than its factorization.

10131331310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12969926 (or 12969918 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 10131331310112 its reverse (21101313313101), we get a palindrome (31232644623213).

The spelling of 10131331310112 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 103 158 206 237 309 316 412 474 618 632 824 948 1236 1264 1648 1896 2472 2528 3296 3792 4944 7584 8137 9888 16274 24411 32548 48822 65096 97644 130192 195288 260384 390576 781152 12969731 25939462 38909193 51878924 77818386 103757848 155636772 207515696 311273544 415031392 622547088 1024608749 1245094176 1335882293 2049217498 2671764586 3073826247 4007646879 4098434996 5343529172 6147652494 8015293758 8196869992 10687058344 12295304988 16030587516 16393739984 21374116688 24590609976 32061175032 32787479968 42748233376 49181219952 64122350064 98362439904 105534701147 128244700128 211069402294 316604103441 422138804588 633208206882 844277609176 1266416413764 1688555218352 2532832827528 3377110436704 5065665655056 10131331310112