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132021131112 = 2332131011396517
BaseRepresentation
bin111101011110100010…
…0101001011101101000
3110121202210001100021200
41322331010221131220
54130334402143422
6140352155004200
712352415045613
oct1727504513550
9417683040250
10132021131112
1150a98539922
1221705739660
13c5ac83a0c0
146565aa517a
15367a4ec2ac
hex1ebd129768

132021131112 has 96 divisors (see below), whose sum is σ = 388874402280. Its totient is φ = 40219660800.

The previous prime is 132021131101. The next prime is 132021131159. The reversal of 132021131112 is 211131120231.

132021131112 is a `hidden beast` number, since 1 + 320 + 21 + 1 + 311 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125490228516 + 6530902596 = 354246^2 + 80814^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603723 + ... + 792794.

Almost surely, 2132021131112 is an apocalyptic number.

132021131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132021131112 is an abundant number, since it is smaller than the sum of its proper divisors (256853271168).

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

132021131112 is a wasteful number, since it uses less digits than its factorization.

132021131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396643 (or 1396636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 132021131112 its reverse (211131120231), we get a palindrome (343152251343).

The spelling of 132021131112 in words is "one hundred thirty-two billion, twenty-one million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 23634 31512 47268 94536 1396517 2793034 4189551 5586068 8379102 11172136 12568653 16758204 18154721 25137306 33516408 36309442 50274612 54464163 72618884 100549224 108928326 141048217 145237768 163392489 217856652 282096434 326784978 423144651 435713304 564192868 653569956 846289302 1128385736 1269433953 1307139912 1692578604 1833626821 2538867906 3385157208 3667253642 5077735812 5500880463 7334507284 10155471624 11001760926 14669014568 16502641389 22003521852 33005282778 44007043704 66010565556 132021131112