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132225252105 = 35193531314301
BaseRepresentation
bin111101100100100111…
…1010011101100001001
3110122022000010202122110
41323021033103230021
54131244131031410
6140424330012533
712360444045552
oct1731117235411
9418260122573
10132225252105
1151092786a61
1221761b77149
13c612c0805b
146584c3b329
15368d3bc720
hex1ec93d3b09

132225252105 has 32 divisors (see below), whose sum is σ = 223326195840. Its totient is φ = 66619238400.

The previous prime is 132225252073. The next prime is 132225252121. The reversal of 132225252105 is 501252522231.

It is not a de Polignac number, because 132225252105 - 25 = 132225252073 is a prime.

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, 556546 + ... + 757755.

It is an arithmetic number, because the mean of its divisors is an integer number (6978943620).

Almost surely, 2132225252105 is an apocalyptic number.

132225252105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132225252105 is a deficient number, since it is larger than the sum of its proper divisors (91100943735).

132225252105 is a wasteful number, since it uses less digits than its factorization.

132225252105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314681.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 132225252105 its reverse (501252522231), we get a palindrome (633477774336).

The spelling of 132225252105 in words is "one hundred thirty-two billion, two hundred twenty-five million, two hundred fifty-two thousand, one hundred five".

Divisors: 1 3 5 15 19 57 95 285 353 1059 1765 5295 6707 20121 33535 100605 1314301 3942903 6571505 19714515 24971719 74915157 124858595 374575785 463948253 1391844759 2319741265 6959223795 8815016807 26445050421 44075084035 132225252105