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12311413413 = 31317192967503
BaseRepresentation
bin10110111011101000…
…10100001010100101
31011210000002121020120
423131310110022211
5200203210212123
65353352152153
7614042200365
oct133564241245
934700077216
1012311413413
115248521132
122477098659
13121282a610
1484b1229a5
154c0c862e3
hex2ddd142a5

12311413413 has 128 divisors (see below), whose sum is σ = 20727705600. Its totient is φ = 6412234752.

The previous prime is 12311413409. The next prime is 12311413417. The reversal of 12311413413 is 31431411321.

It is a happy number.

12311413413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12311413409) and next prime (12311413417).

It is not a de Polignac number, because 12311413413 - 22 = 12311413409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311413417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24475720 + ... + 24476222.

It is an arithmetic number, because the mean of its divisors is an integer number (161935200).

Almost surely, 212311413413 is an apocalyptic number.

12311413413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12311413413 is a deficient number, since it is larger than the sum of its proper divisors (8416292187).

12311413413 is a wasteful number, since it uses less digits than its factorization.

12311413413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its digits is 864, while the sum is 24.

Adding to 12311413413 its reverse (31431411321), we get a palindrome (43742824734).

The spelling of 12311413413 in words is "twelve billion, three hundred eleven million, four hundred thirteen thousand, four hundred thirteen".

Divisors: 1 3 13 17 19 29 39 51 57 67 87 201 221 247 323 377 493 503 551 663 741 871 969 1131 1139 1273 1479 1509 1653 1943 2613 3417 3819 4199 5829 6409 6539 7163 8551 9367 9557 12597 14587 14807 16549 19227 19617 21489 21641 25259 25653 28101 28671 33031 33701 36917 43761 44421 49647 64923 75777 99093 101103 110751 111163 121771 124241 162469 189631 247979 277153 281333 333489 365313 372723 429403 438113 479921 487407 568893 572917 627589 640319 743937 831459 843999 977329 1288209 1314339 1439763 1718751 1882767 1920957 2112097 2931987 3223727 3602989 4711601 6336291 7447921 8158657 8324147 9671181 10808967 10885423 12705277 14134803 16614593 18569251 22343763 24475971 24972441 32656269 38115831 49843779 55707753 61250813 141510499 183752439 215989709 241400263 315677267 424531497 647969127 724200789 947031801 4103804471 12311413413