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132131112 = 23346711789
BaseRepresentation
bin1111110000000…
…10100100101000
3100012121221210220
413320002210220
5232311143422
621040010040
73163044621
oct770024450
9305557726
10132131112
1168648073
1238300920
13214b37b9
1413796a48
15b8eee5c
hex7e02928

132131112 has 32 divisors (see below), whose sum is σ = 331063200. Its totient is φ = 43945664.

The previous prime is 132131101. The next prime is 132131117. The reversal of 132131112 is 211131231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132131091 and 132131100.

It is not an unprimeable number, because it can be changed into a prime (132131117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5314 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (10345725).

Almost surely, 2132131112 is an apocalyptic number.

132131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132131112 is an abundant number, since it is smaller than the sum of its proper divisors (198932088).

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

132131112 is a wasteful number, since it uses less digits than its factorization.

132131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12261 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 132131112 is about 11494.8297943032. The cubic root of 132131112 is about 509.3328608647.

Adding to 132131112 its reverse (211131231), we get a palindrome (343262343).

The spelling of 132131112 in words is "one hundred thirty-two million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 467 934 1401 1868 2802 3736 5604 11208 11789 23578 35367 47156 70734 94312 141468 282936 5505463 11010926 16516389 22021852 33032778 44043704 66065556 132131112