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132012331 = 11247139167
BaseRepresentation
bin1111101111001…
…01100100101011
3100012101220212121
413313211210223
5232243343311
621033252111
73162041413
oct767454453
9305356777
10132012331
1168576900
1238264037
1321471709
1413765643
15b8c9b71
hex7de592b

132012331 has 24 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 115914480.

The previous prime is 132012301. The next prime is 132012343. The reversal of 132012331 is 133210231.

It is not a de Polignac number, because 132012331 - 25 = 132012299 is a prime.

It is a super-2 number, since 2×1320123312 = 34854511072107122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132012301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 790410 + ... + 790576.

It is an arithmetic number, because the mean of its divisors is an integer number (6256320).

Almost surely, 2132012331 is an apocalyptic number.

132012331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132012331 is a deficient number, since it is larger than the sum of its proper divisors (18139349).

132012331 is a wasteful number, since it uses less digits than its factorization.

132012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132012331 is about 11489.6619184378. The cubic root of 132012331 is about 509.1801912840.

Adding to 132012331 its reverse (133210231), we get a palindrome (265222562).

The spelling of 132012331 in words is "one hundred thirty-two million, twelve thousand, three hundred thirty-one".

Divisors: 1 11 47 121 139 167 517 1529 1837 5687 6533 7849 16819 20207 23213 71863 86339 255343 790493 949729 1091011 2808773 12001121 132012331