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132012131232 = 2537119367977
BaseRepresentation
bin111101011110010001…
…0010100001110100000
3110121202011010002202210
41322330202110032200
54130330101144412
6140351234042120
712352245413112
oct1727442241640
9417664102683
10132012131232
1150a93452103
1221702719340
13c5aaa08827
1465648013b2
15367982083c
hex1ebc8943a0

132012131232 has 48 divisors (see below), whose sum is σ = 351412592832. Its totient is φ = 43384266240.

The previous prime is 132012131189. The next prime is 132012131299. The reversal of 132012131232 is 232131210231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 132012131199 and 132012131208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9677173 + ... + 9690804.

It is an arithmetic number, because the mean of its divisors is an integer number (7321095684).

Almost surely, 2132012131232 is an apocalyptic number.

132012131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132012131232 is an abundant number, since it is smaller than the sum of its proper divisors (219400461600).

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

132012131232 is a wasteful number, since it uses less digits than its factorization.

132012131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19368061 (or 19368053 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132012131232 its reverse (232131210231), we get a palindrome (364143341463).

The spelling of 132012131232 in words is "one hundred thirty-two billion, twelve million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 19367977 38735954 58103931 77471908 116207862 154943816 232415724 309887632 464831448 619775264 929662896 1375126367 1859325792 2750252734 4125379101 5500505468 8250758202 11001010936 16501516404 22002021872 33003032808 44004043744 66006065616 132012131232