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112135104 = 263497223
BaseRepresentation
bin1101010111100…
…00101111000000
321211000001110000
412223300233000
5212201310404
615043240000
72531063334
oct653605700
9254001400
10112135104
115832a844
1231679000
131a302143
1410c6d7c4
159ca0339
hex6af0bc0

112135104 has 140 divisors (see below), whose sum is σ = 337336384. Its totient is φ = 36827136.

The previous prime is 112135069. The next prime is 112135129. The reversal of 112135104 is 401531211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 502737 + ... + 502959.

Almost surely, 2112135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168668192).

112135104 is an abundant number, since it is smaller than the sum of its proper divisors (225201280).

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

112135104 is an equidigital number, since it uses as much as digits as its factorization.

112135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112135104 is about 10589.3863844890. The cubic root of 112135104 is about 482.2221962981. Note that the first 3 decimals are identical.

Adding to 112135104 its reverse (401531211), we get a palindrome (513666315).

The spelling of 112135104 in words is "one hundred twelve million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 223 288 291 324 388 432 446 576 582 648 669 776 864 873 892 1164 1296 1338 1552 1728 1746 1784 2007 2328 2592 2619 2676 3104 3492 3568 4014 4656 5184 5238 5352 6021 6208 6984 7136 7857 8028 9312 10476 10704 12042 13968 14272 15714 16056 18063 18624 20952 21408 21631 24084 27936 31428 32112 36126 41904 42816 43262 48168 55872 62856 64224 64893 72252 83808 86524 96336 125712 128448 129786 144504 167616 173048 192672 194679 251424 259572 289008 346096 385344 389358 502848 519144 578016 584037 692192 778716 1038288 1156032 1168074 1384384 1557432 1752111 2076576 2336148 3114864 3504222 4153152 4672296 6229728 7008444 9344592 12459456 14016888 18689184 28033776 37378368 56067552 112135104