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112303104 = 2103139263
BaseRepresentation
bin1101011000110…
…01110000000000
321211022120220020
412230121300000
5212222144404
615051013440
72532363204
oct654316000
9254276806
10112303104
1158434a91
123173a280
131a360754
1410cb4b04
159cd4ed9
hex6b19c00

112303104 has 88 divisors (see below), whose sum is σ = 302628480. Its totient is φ = 37023744.

The previous prime is 112303099. The next prime is 112303153. The reversal of 112303104 is 401303211.

It is a super-2 number, since 2×1123031042 = 25223974336069632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426877 + ... + 427139.

It is an arithmetic number, because the mean of its divisors is an integer number (3438960).

Almost surely, 2112303104 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 112303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151314240).

112303104 is an abundant number, since it is smaller than the sum of its proper divisors (190325376).

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

112303104 is a wasteful number, since it uses less digits than its factorization.

112303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112303104 is about 10597.3158865818. The cubic root of 112303104 is about 482.4628967326.

Adding to 112303104 its reverse (401303211), we get a palindrome (513606315).

The spelling of 112303104 in words is "one hundred twelve million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 263 278 384 417 512 526 556 768 789 834 1024 1052 1112 1536 1578 1668 2104 2224 3072 3156 3336 4208 4448 6312 6672 8416 8896 12624 13344 16832 17792 25248 26688 33664 35584 36557 50496 53376 67328 71168 73114 100992 106752 109671 134656 142336 146228 201984 213504 219342 269312 292456 403968 427008 438684 584912 807936 877368 1169824 1754736 2339648 3509472 4679296 7018944 9358592 14037888 18717184 28075776 37434368 56151552 112303104