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112304124 = 223323291559
BaseRepresentation
bin1101011000110…
…01111111111100
321211022122022000
412230121333330
5212222212444
615051022300
72532366162
oct654317774
9254278260
10112304124
1158435829
123173a990
131a36105a
1410cb5232
159cd5469
hex6b19ffc

112304124 has 96 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 34550208.

The previous prime is 112304107. The next prime is 112304167. The reversal of 112304124 is 421403211.

It is a super-2 number, since 2×1123041242 = 25224432534814752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112304097 and 112304106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71257 + ... + 72815.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2112304124 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 112304124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

112304124 is an abundant number, since it is smaller than the sum of its proper divisors (202191876).

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

112304124 is a wasteful number, since it uses less digits than its factorization.

112304124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112304124 is about 10597.3640118663. The cubic root of 112304124 is about 482.4643573947.

Adding to 112304124 its reverse (421403211), we get a palindrome (533707335).

The spelling of 112304124 in words is "one hundred twelve million, three hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 207 261 276 348 414 522 621 667 783 828 1044 1242 1334 1559 1566 2001 2484 2668 3118 3132 4002 4677 6003 6236 8004 9354 12006 14031 18009 18708 24012 28062 35857 36018 42093 45211 56124 71714 72036 84186 90422 107571 135633 143428 168372 180844 215142 271266 322713 406899 430284 542532 645426 813798 968139 1039853 1220697 1290852 1627596 1936278 2079706 2441394 3119559 3872556 4159412 4882788 6239118 9358677 12478236 18717354 28076031 37434708 56152062 112304124