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1131321132312 = 23372928007199
BaseRepresentation
bin10000011101100111111…
…111101000010100011000
311000011010201022010221020
4100131213333220110120
5122013421202213222
62223415522042440
7144510122650050
oct20354777502430
94004121263836
101131321132312
113a6877316308
121633111a9420
13828b5a96c67
143ca83174560
151e66559165c
hex10767fe8518

1131321132312 has 96 divisors (see below), whose sum is σ = 3347650176000. Its totient is φ = 312088549248.

The previous prime is 1131321132307. The next prime is 1131321132349. The reversal of 1131321132312 is 2132311231311.

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

It is a nude number because it is divisible by every one of its digits.

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, 3862312 + ... + 4144887.

It is an arithmetic number, because the mean of its divisors is an integer number (34871356000).

Almost surely, 21131321132312 is an apocalyptic number.

1131321132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131321132312 is an abundant number, since it is smaller than the sum of its proper divisors (2216329043688).

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

1131321132312 is a wasteful number, since it uses less digits than its factorization.

1131321132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007273 (or 8007240 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1131321132312 its reverse (2132311231311), we get a palindrome (3263632363623).

The spelling of 1131321132312 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 841 1218 1624 1682 2436 2523 3364 4872 5046 5887 6728 10092 11774 17661 20184 23548 35322 47096 70644 141288 8007199 16014398 24021597 32028796 48043194 56050393 64057592 96086388 112100786 168151179 192172776 224201572 232208771 336302358 448403144 464417542 672604716 696626313 928835084 1345209432 1393252626 1625461397 1857670168 2786505252 3250922794 4876384191 5573010504 6501845588 6734054359 9752768382 13003691176 13468108718 19505536764 20202163077 26936217436 39011073528 40404326154 47138380513 53872434872 80808652308 94276761026 141415141539 161617304616 188553522052 282830283078 377107044104 565660566156 1131321132312