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132100345152 = 2633137558007
BaseRepresentation
bin111101100000111001…
…0110100110101000000
3110121222022002211112000
41323001302310311000
54131020142021102
6140404104504000
712354366256416
oct1730162646500
9417868084460
10132100345152
1151029223576
122172817b000
13c5c3083809
1465724052b6
15368244801c
hex1ec1cb4d40

132100345152 has 112 divisors (see below), whose sum is σ = 391185928320. Its totient is φ = 43711958016.

The previous prime is 132100345151. The next prime is 132100345211. The reversal of 132100345152 is 251543001231.

132100345152 is a `hidden beast` number, since 13 + 2 + 100 + 34 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100345151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42268 + ... + 515739.

Almost surely, 2132100345152 is an apocalyptic number.

132100345152 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 132100345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592964160).

132100345152 is an abundant number, since it is smaller than the sum of its proper divisors (259085583168).

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

132100345152 is a wasteful number, since it uses less digits than its factorization.

132100345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558165 (or 558149 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 132100345152 its reverse (251543001231), we get a palindrome (383643346383).

The spelling of 132100345152 in words is "one hundred thirty-two billion, one hundred million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1644 1728 2192 2466 3288 3699 4384 4932 6576 7398 8768 9864 13152 14796 19728 26304 29592 39456 59184 78912 118368 236736 558007 1116014 1674021 2232028 3348042 4464056 5022063 6696084 8928112 10044126 13392168 15066189 17856224 20088252 26784336 30132378 35712448 40176504 53568672 60264756 76446959 80353008 107137344 120529512 152893918 160706016 229340877 241059024 305787836 321412032 458681754 482118048 611575672 688022631 917363508 964236096 1223151344 1376045262 1834727016 2064067893 2446302688 2752090524 3669454032 4128135786 4892605376 5504181048 7338908064 8256271572 11008362096 14677816128 16512543144 22016724192 33025086288 44033448384 66050172576 132100345152