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12311013203013 = 371071091312571493
BaseRepresentation
bin1011001100100110000110…
…0100011001110001000101
31121120220212200021210220110
42303021201210121301011
53103200423334444023
642103333522223233
72410304245430430
oct263114144316105
947526780253813
1012311013203013
113a17087007578
121469b594b4b19
136b3c010b9565
14307bdb66a817
151653873caa93
hexb3261919c45

12311013203013 has 128 divisors (see below), whose sum is σ = 19342413066240. Its totient is φ = 6821234933760.

The previous prime is 12311013203003. The next prime is 12311013203051. The reversal of 12311013203013 is 31030231011321.

It is a happy number.

It is not a de Polignac number, because 12311013203013 - 24 = 12311013202997 is a prime.

It is a super-2 number, since 2×123110132030132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311013203003) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8245821895 + ... + 8245823387.

It is an arithmetic number, because the mean of its divisors is an integer number (151112602080).

Almost surely, 212311013203013 is an apocalyptic number.

It is an amenable number.

12311013203013 is a deficient number, since it is larger than the sum of its proper divisors (7031399863227).

12311013203013 is a wasteful number, since it uses less digits than its factorization.

12311013203013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12311013203013 its reverse (31030231011321), we get a palindrome (43341244214334).

The spelling of 12311013203013 in words is "twelve trillion, three hundred eleven billion, thirteen million, two hundred three thousand, thirteen".

Divisors: 1 3 7 21 107 109 131 257 321 327 393 749 763 771 917 1493 1799 2247 2289 2751 4479 5397 10451 11663 14017 14279 27499 28013 31353 33667 34989 42051 42837 81641 82497 84039 98119 99953 101001 159751 162737 192493 195583 196091 235669 244923 294357 299859 383701 479253 488211 577479 586749 588273 707007 1118257 1139159 1151103 1369081 1527853 2685907 2997391 3354771 3417477 3602369 3669703 4107243 4583559 8057721 8992173 10694971 10807107 11009109 17412859 20927381 20981737 21318547 25216583 25687921 32084913 41056007 41823409 50264831 52238577 62782143 62945211 63955641 75649749 77063763 121890013 123168021 125470227 146491667 149229829 150794493 287392049 292763863 351853817 365670039 392658221 439475001 447689487 862176147 878291589 1055561451 1177974663 2281084529 2748607547 4475104763 5378336917 5478866579 6843253587 8245822641 13425314289 15967591703 16135010751 16436599737 31325733341 37648358419 38352066053 47902775109 93977200023 112945075257 115056198159 586238723953 1758716171859 4103671067671 12311013203013