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132152142312 = 23327923233499
BaseRepresentation
bin111101100010011100…
…0011010100111101000
3110122002220120101212100
41323010320122213220
54131121422023222
6140413155013400
712355565450511
oct1730470324750
9418086511770
10132152142312
1151055491543
122174159a260
13c600a1ac18
146579249a08
153686c7a4ac
hex1ec4e1a9e8

132152142312 has 48 divisors (see below), whose sum is σ = 362442600000. Its totient is φ = 43493108256.

The previous prime is 132152142307. The next prime is 132152142319. The reversal of 132152142312 is 213241251231.

It is a happy number.

132152142312 is a `hidden beast` number, since 1 + 3 + 215 + 21 + 423 + 1 + 2 = 666.

132152142312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321521423122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132152142319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11611062 + ... + 11622437.

It is an arithmetic number, because the mean of its divisors is an integer number (7550887500).

Almost surely, 2132152142312 is an apocalyptic number.

132152142312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132152142312 is an abundant number, since it is smaller than the sum of its proper divisors (230290457688).

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

132152142312 is a wasteful number, since it uses less digits than its factorization.

132152142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23233590 (or 23233583 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 132152142312 its reverse (213241251231), we get a palindrome (345393393543).

The spelling of 132152142312 in words is "one hundred thirty-two billion, one hundred fifty-two million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 23233499 46466998 69700497 92933996 139400994 185867992 209101491 278801988 418202982 557603976 836405964 1672811928 1835446421 3670892842 5506339263 7341785684 11012678526 14683571368 16519017789 22025357052 33038035578 44050714104 66076071156 132152142312