Search a number
-
+
112334650032 = 243111153184523
BaseRepresentation
bin110100010011110101…
…0101011101010110000
3101201221210110111010210
41220213222223222300
53320030132300112
6123334505224120
711054520525213
oct1504752535260
9351853414123
10112334650032
1143705a88250
1219930792040
13a7930b4727
1456192b177a
152dc7060b3c
hex1a27aabab0

112334650032 has 80 divisors (see below), whose sum is σ = 316855755648. Its totient is φ = 34011095040.

The previous prime is 112334649953. The next prime is 112334650049. The reversal of 112334650032 is 230056433211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516523 + ... + 701045.

Almost surely, 2112334650032 is an apocalyptic number.

112334650032 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 112334650032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427877824).

112334650032 is an abundant number, since it is smaller than the sum of its proper divisors (204521105616).

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

112334650032 is a wasteful number, since it uses less digits than its factorization.

112334650032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185698 (or 185692 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 112334650032 in words is "one hundred twelve billion, three hundred thirty-four million, six hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1153 2306 3459 4612 6918 9224 12683 13836 18448 25366 27672 38049 50732 55344 76098 101464 152196 184523 202928 304392 369046 553569 608784 738092 1107138 1476184 2029753 2214276 2952368 4059506 4428552 6089259 8119012 8857104 12178518 16238024 24357036 32476048 48714072 97428144 212755019 425510038 638265057 851020076 1276530114 1702040152 2340305209 2553060228 3404080304 4680610418 5106120456 7020915627 9361220836 10212240912 14041831254 18722441672 28083662508 37444883344 56167325016 112334650032