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10131303312312 = 2337213662696449
BaseRepresentation
bin1001001101101110000010…
…1111000010101110111000
31022212112122221120121211120
42103123200233002232320
52311442402121443222
633314131222425240
72063651066156100
oct223334057025670
938775587517746
1010131303312312
113256730662a66
121177620b92220
135864bb057870
1427050173c200
151288123ed15c
hex936e0bc2bb8

10131303312312 has 96 divisors (see below), whose sum is σ = 31729906026000. Its totient is φ = 2671992078336.

The previous prime is 10131303312259. The next prime is 10131303312379. The reversal of 10131303312312 is 21321330313101.

10131303312312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101313033123122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331332937 + ... + 331363512.

Almost surely, 210131303312312 is an apocalyptic number.

10131303312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131303312312 is an abundant number, since it is smaller than the sum of its proper divisors (21598602713688).

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

10131303312312 is a wasteful number, since it uses less digits than its factorization.

10131303312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662696485 (or 662696474 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10131303312312 its reverse (21321330313101), we get a palindrome (31452633625413).

The spelling of 10131303312312 in words is "ten trillion, one hundred thirty-one billion, three hundred three million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 662696449 1325392898 1988089347 2650785796 3976178694 4638875143 5301571592 7952357388 8615053837 9277750286 13916625429 15904714776 17230107674 18555500572 25845161511 27833250858 32472126001 34460215348 37111001144 51690323022 55666501716 60305376859 64944252002 68920430696 97416378003 103380646044 111333003432 120610753718 129888504004 180916130577 194832756006 206761292088 241221507436 259777008008 361832261154 389665512012 422137638013 482443014872 723664522308 779331024024 844275276026 1266412914039 1447329044616 1688550552052 2532825828078 3377101104104 5065651656156 10131303312312