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13142311111312 = 2412722333318707
BaseRepresentation
bin1011111100111110111011…
…0010010000101010010000
31201112101121020222000201221
42333033232302100222100
53210310423121030222
643541254441334424
72524333502160505
oct277175662205220
951471536860657
1013142311111312
114207694003a89
121583099497414
137444122b2ba6
1433613c5754ac
1517bcdd2220c7
hexbf3eec90a90

13142311111312 has 80 divisors (see below), whose sum is σ = 25789510254592. Its totient is φ = 6487485540480.

The previous prime is 13142311111297. The next prime is 13142311111399. The reversal of 13142311111312 is 21311111324131.

It is a super-3 number, since 3×131423111113123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1509391663 + ... + 1509400369.

Almost surely, 213142311111312 is an apocalyptic number.

It is an amenable number.

13142311111312 is a deficient number, since it is larger than the sum of its proper divisors (12647199143280).

13142311111312 is a wasteful number, since it uses less digits than its factorization.

13142311111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12396 (or 12390 counting only the distinct ones).

The product of its digits is 432, while the sum is 25.

Adding to 13142311111312 its reverse (21311111324131), we get a palindrome (34453422435443).

The spelling of 13142311111312 in words is "thirteen trillion, one hundred forty-two billion, three hundred eleven million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 127 223 254 446 508 892 1016 1784 2032 3331 3568 6662 8707 13324 17414 26648 28321 34828 53296 56642 69656 113284 139312 226568 423037 453136 742813 846074 1105789 1485626 1692148 1941661 2211578 2971252 3384296 3883322 4423156 5942504 6768592 7766644 8846312 11885008 15533288 17692624 29003017 31066576 58006034 94337251 116012068 188674502 232024136 246590947 377349004 464048272 493181894 754698008 986363788 1509396016 1972727576 3683383159 3945455152 6467672791 7366766318 12935345582 14733532636 25870691164 29467065272 51741382328 58934130544 103482764656 821394444457 1642788888914 3285577777828 6571155555656 13142311111312