Search a number
-
+
132021012 = 223232112267
BaseRepresentation
bin1111101111001…
…11101100010100
3100012102100210010
413313213230110
5232244133022
621033400220
73162105624
oct767475424
9305370703
10132021012
1168582382
1238269070
1321475656
1413768884
15b8cc50c
hex7de7b14

132021012 has 48 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 41875680.

The previous prime is 132021007. The next prime is 132021013. The reversal of 132021012 is 210120231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021013) 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 15 ways as a sum of consecutive naturals, for example, 57103 + ... + 59369.

It is an arithmetic number, because the mean of its divisors is an integer number (6731424).

Almost surely, 2132021012 is an apocalyptic number.

132021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

132021012 is an abundant number, since it is smaller than the sum of its proper divisors (191087340).

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

132021012 is a wasteful number, since it uses less digits than its factorization.

132021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 132021012 is about 11490.0396866155. The cubic root of 132021012 is about 509.1913521009.

Adding to 132021012 its reverse (210120231), we get a palindrome (342141243).

The spelling of 132021012 in words is "one hundred thirty-two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 211 276 422 633 844 1266 2267 2532 4534 4853 6801 9068 9706 13602 14559 19412 27204 29118 52141 58236 104282 156423 208564 312846 478337 625692 956674 1435011 1913348 2870022 5740044 11001751 22003502 33005253 44007004 66010506 132021012