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13012112112 = 2433113676397
BaseRepresentation
bin11000001111001010…
…10001001011110000
31020120211120210011020
430013211101023300
5203122100041422
65551102415440
7640311061626
oct140745211360
936524523136
1013012112112
115577aa846a
122631891580
1312c4a52a2c
148b61dd516
1551254595c
hex3079512f0

13012112112 has 80 divisors (see below), whose sum is σ = 34729777152. Its totient is φ = 4193729280.

The previous prime is 13012112077. The next prime is 13012112117. The reversal of 13012112112 is 21121121031.

It is a junction number, because it is equal to n+sod(n) for n = 13012112091 and 13012112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012112117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2030898 + ... + 2037294.

Almost surely, 213012112112 is an apocalyptic number.

13012112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364888576).

13012112112 is an abundant number, since it is smaller than the sum of its proper divisors (21717665040).

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

13012112112 is a wasteful number, since it uses less digits than its factorization.

13012112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13012112112 its reverse (21121121031), we get a palindrome (34133233143).

The spelling of 13012112112 in words is "thirteen billion, twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1367 1488 2734 4101 5468 6397 8202 10936 12794 16404 19191 21872 25588 32808 38382 42377 51176 65616 76764 84754 102352 127131 153528 169508 198307 254262 307056 339016 396614 508524 594921 678032 793228 1017048 1189842 1586456 2034096 2379684 3172912 4759368 8744699 9518736 17489398 26234097 34978796 52468194 69957592 104936388 139915184 209872776 271085669 419745552 542171338 813257007 1084342676 1626514014 2168685352 3253028028 4337370704 6506056056 13012112112