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132120130311 = 321321910742727
BaseRepresentation
bin111101100001011111…
…0010011001100000111
3110122000200100000122200
41323002332103030013
54131040223132221
6140410052525543
712355026402201
oct1730276231407
9418020300580
10132120130311
1151039407444
12217329208b3
13c5c71c0200
146574cb5771
153684055426
hex1ec2f93307

132120130311 has 72 divisors (see below), whose sum is σ = 219563809920. Its totient is φ = 76303850688.

The previous prime is 132120130277. The next prime is 132120130343. The reversal of 132120130311 is 113031021231.

132120130311 is a `hidden beast` number, since 1 + 321 + 2 + 0 + 1 + 30 + 311 = 666.

It is not a de Polignac number, because 132120130311 - 235 = 97760391943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120130381) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3070830 + ... + 3113556.

It is an arithmetic number, because the mean of its divisors is an integer number (3049497360).

Almost surely, 2132120130311 is an apocalyptic number.

132120130311 is a deficient number, since it is larger than the sum of its proper divisors (87443679609).

132120130311 is a wasteful number, since it uses less digits than its factorization.

132120130311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42885 (or 42869 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132120130311 its reverse (113031021231), we get a palindrome (245151151542).

The spelling of 132120130311 in words is "one hundred thirty-two billion, one hundred twenty million, one hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 13 19 39 57 107 117 169 171 247 321 507 741 963 1391 1521 2033 2223 3211 4173 6099 9633 12519 18083 18297 26429 28899 42727 54249 79287 128181 162747 237861 343577 384543 555451 811813 1030731 1666353 2435439 3092193 4571789 4999059 7220863 7306317 10553569 13715367 21662589 31660707 41146101 59433257 64987767 86863991 94982121 137196397 178299771 260591973 411589191 534899313 772632341 781775919 1129231883 1234767573 2317897023 3387695649 6953691069 10163086947 14680014479 44040043437 132120130311