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132044000112 = 24328419108917
BaseRepresentation
bin111101011111001101…
…1111000101101110000
3110121211101002012122200
41322332123320231300
54130411231000422
6140354333103200
712353113324233
oct1727633705560
9417741065580
10132044000112
1150aaa439722
1221711327b00
13c5b44b635b
146568b3941a
15367c5182ac
hex1ebe6f8b70

132044000112 has 60 divisors (see below), whose sum is σ = 369587092680. Its totient is φ = 44009034624.

The previous prime is 132044000093. The next prime is 132044000113. The reversal of 132044000112 is 211000440231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132044000113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157878 + ... + 1266794.

It is an arithmetic number, because the mean of its divisors is an integer number (6159784878).

Almost surely, 2132044000112 is an apocalyptic number.

132044000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132044000112 is an abundant number, since it is smaller than the sum of its proper divisors (237543092568).

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

132044000112 is a wasteful number, since it uses less digits than its factorization.

132044000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117350 (or 117341 counting only the distinct ones).

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

Adding to 132044000112 its reverse (211000440231), we get a palindrome (343044440343).

The spelling of 132044000112 in words is "one hundred thirty-two billion, forty-four million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8419 16838 25257 33676 50514 67352 75771 101028 108917 134704 151542 202056 217834 303084 326751 404112 435668 606168 653502 871336 980253 1212336 1307004 1742672 1960506 2614008 3921012 5228016 7842024 15684048 916972223 1833944446 2750916669 3667888892 5501833338 7335777784 8252750007 11003666676 14671555568 16505500014 22007333352 33011000028 44014666704 66022000056 132044000112