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132493200105 = 3572515027251
BaseRepresentation
bin111101101100100110…
…1011100101011101001
3110122222200022221012110
41323121031130223221
54132321224400410
6140511101032533
712400206422220
oct1733115345351
9418880287173
10132493200105
115120aa59292
1221817855749
13c656592b76
1465ac669cb7
1536a6b99720
hex1ed935cae9

132493200105 has 32 divisors (see below), whose sum is σ = 243238560768. Its totient is φ = 60327000000.

The previous prime is 132493200097. The next prime is 132493200113. The reversal of 132493200105 is 501002394231.

It is an interprime number because it is at equal distance from previous prime (132493200097) and next prime (132493200113).

It is not a de Polignac number, because 132493200105 - 23 = 132493200097 is a prime.

It is a super-2 number, since 2×1324932001052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487271 + ... + 2539980.

It is an arithmetic number, because the mean of its divisors is an integer number (7601205024).

Almost surely, 2132493200105 is an apocalyptic number.

132493200105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132493200105 is a deficient number, since it is larger than the sum of its proper divisors (110745360663).

132493200105 is a wasteful number, since it uses less digits than its factorization.

132493200105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027517.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 132493200105 its reverse (501002394231), we get a palindrome (633495594336).

The spelling of 132493200105 in words is "one hundred thirty-two billion, four hundred ninety-three million, two hundred thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 251 753 1255 1757 3765 5271 8785 26355 5027251 15081753 25136255 35190757 75408765 105572271 175953785 527861355 1261840001 3785520003 6309200005 8832880007 18927600015 26498640021 44164400035 132493200105