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112312123033032 = 233213119991584437
BaseRepresentation
bin11001100010010110110100…
…001100101000010111001000
3112201122221012221221112202200
4121202112310030220113020
5104210110211444024112
61034511251012400200
732441166052160016
oct3142266414502710
9481587187845680
10112312123033032
113287133853243a
121071aa12916060
134a88cac145550
141da3d15a198b6
15ceb769323cdc
hex6625b43285c8

112312123033032 has 48 divisors (see below), whose sum is σ = 327577025515740. Its totient is φ = 34557576317568.

The previous prime is 112312123032997. The next prime is 112312123033037. The reversal of 112312123033032 is 230330321213211.

112312123033032 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 121 + 230 + 3 + 303 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110063724747876 + 2248398285156 = 10491126^2 + 1499466^2 .

It is a super-3 number, since 3×1123121230330323 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112312123032987 and 112312123033005.

It is not an unprimeable number, because it can be changed into a prime (112312123033037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59995791283 + ... + 59995793154.

Almost surely, 2112312123033032 is an apocalyptic number.

112312123033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112312123033032 is an abundant number, since it is smaller than the sum of its proper divisors (215264902482708).

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

112312123033032 is a wasteful number, since it uses less digits than its factorization.

112312123033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119991584462 (or 119991584455 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 112312123033032 its reverse (230330321213211), we get a palindrome (342642444246243).

The spelling of 112312123033032 in words is "one hundred twelve trillion, three hundred twelve billion, one hundred twenty-three million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 119991584437 239983168874 359974753311 479966337748 719949506622 959932675496 1079924259933 1439899013244 1559890597681 2159848519866 2879798026488 3119781195362 4319697039732 4679671793043 6239562390724 8639394079464 9359343586086 12479124781448 14039015379129 18718687172172 28078030758258 37437374344344 56156061516516 112312123033032