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112452012 = 223241471621
BaseRepresentation
bin1101011001111…
…10000110101100
321211121011011100
412230332012230
5212241431022
615054123100
72533553301
oct654760654
9254534140
10112452012
1158526952
12317b0490
131a3b346a
1410d130a8
159d141ac
hex6b3e1ac

112452012 has 72 divisors (see below), whose sum is σ = 297565632. Its totient is φ = 35769600.

The previous prime is 112452007. The next prime is 112452019. The reversal of 112452012 is 210254211.

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

It is not an unprimeable number, because it can be changed into a prime (112452019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68562 + ... + 70182.

It is an arithmetic number, because the mean of its divisors is an integer number (4132856).

Almost surely, 2112452012 is an apocalyptic number.

112452012 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 112452012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148782816).

112452012 is an abundant number, since it is smaller than the sum of its proper divisors (185113620).

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

112452012 is a wasteful number, since it uses less digits than its factorization.

112452012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112452012 is about 10604.3393004939. The cubic root of 112452012 is about 482.6760426822.

The spelling of 112452012 in words is "one hundred twelve million, four hundred fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1476 1621 1692 1927 3242 3854 4863 5781 6484 7708 9726 11562 14589 17343 19452 23124 29178 34686 58356 66461 69372 76187 132922 152374 199383 228561 265844 304748 398766 457122 598149 685683 797532 914244 1196298 1371366 2392596 2742732 3123667 6247334 9371001 12494668 18742002 28113003 37484004 56226006 112452012