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132101712 = 24331911601
BaseRepresentation
bin1111101111110…
…11011001010000
3100012120110111000
413313323121100
5232304223322
621035222000
73162563121
oct767733120
9305513430
10132101712
1168627a76
12382a7900
13214a32c2
141378a048
15b8e63ac
hex7dfb650

132101712 has 80 divisors (see below), whose sum is σ = 381404160. Its totient is φ = 43776000.

The previous prime is 132101707. The next prime is 132101731. The reversal of 132101712 is 217101231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 81712 + ... + 83312.

It is an arithmetic number, because the mean of its divisors is an integer number (4767552).

Almost surely, 2132101712 is an apocalyptic number.

132101712 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 132101712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190702080).

132101712 is an abundant number, since it is smaller than the sum of its proper divisors (249302448).

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

132101712 is a wasteful number, since it uses less digits than its factorization.

132101712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 132101712 is about 11493.5508873455. The cubic root of 132101712 is about 509.2950814787.

Adding to 132101712 its reverse (217101231), we get a palindrome (349202943).

The spelling of 132101712 in words is "one hundred thirty-two million, one hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 382 432 573 764 1146 1528 1601 1719 2292 3056 3202 3438 4584 4803 5157 6404 6876 9168 9606 10314 12808 13752 14409 19212 20628 25616 27504 28818 38424 41256 43227 57636 76848 82512 86454 115272 172908 230544 305791 345816 611582 691632 917373 1223164 1834746 2446328 2752119 3669492 4892656 5504238 7338984 8256357 11008476 14677968 16512714 22016952 33025428 44033904 66050856 132101712