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12331365422013 = 321117411141115661
BaseRepresentation
bin1011001101110001111010…
…1001111101001110111101
31121122212102001120122210100
42303130132221331032331
53104014114022001023
642120541233031313
72411624505433041
oct263343651751675
947585361518710
1012331365422013
113a24780336980
121471a993b5539
136b5ac57463b1
14308bac63a021
15165b7901cc43
hexb371ea7d3bd

12331365422013 has 96 divisors (see below), whose sum is σ = 21079260768384. Its totient is φ = 6861335040000.

The previous prime is 12331365422011. The next prime is 12331365422027. The reversal of 12331365422013 is 31022456313321.

12331365422013 is a `hidden beast` number, since 1 + 23 + 31 + 36 + 542 + 20 + 13 = 666.

It is not a de Polignac number, because 12331365422013 - 21 = 12331365422011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331365422011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 787385403 + ... + 787401063.

It is an arithmetic number, because the mean of its divisors is an integer number (219575633004).

Almost surely, 212331365422013 is an apocalyptic number.

It is an amenable number.

12331365422013 is a deficient number, since it is larger than the sum of its proper divisors (8747895346371).

12331365422013 is a wasteful number, since it uses less digits than its factorization.

12331365422013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27147 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 12331365422013 in words is "twelve trillion, three hundred thirty-one billion, three hundred sixty-five million, four hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 11 17 33 41 51 99 123 153 187 369 451 561 697 1353 1683 2091 4059 6273 7667 11411 15661 23001 34233 46983 69003 102699 125521 140949 172271 193987 266237 376563 467851 516813 581961 642101 798711 1129689 1403553 1550439 1745883 1926303 2133857 2396133 2928607 4210659 5146361 5778909 6401571 7063111 7953467 8785821 10915717 15439083 19204713 21189333 23860401 26357463 32747151 46317249 63567999 71581203 87488137 98241453 120072887 178707671 262464411 360218661 536123013 787393233 1080655983 1608369039 1965784381 3038030407 5897353143 7327014511 9114091221 17692059429 21981043533 27342273663 33418334477 65943130599 80597159621 100255003431 124559246687 241791478863 300765010293 373677740061 725374436589 1121033220183 1370151713557 4110455140671 12331365422013