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132125664011 = 111741103167311
BaseRepresentation
bin111101100001101001…
…1011010001100001011
3110122001001202011110112
41323003103122030023
54131043132222021
6140410411304535
712355124420345
oct1730323321413
9418031664415
10132125664011
1151041546a50
122173474b14b
13c5c83a9ba3
146575916295
153684799d5b
hex1ec34da30b

132125664011 has 32 divisors (see below), whose sum is σ = 157856864256. Its totient is φ = 109219968000.

The previous prime is 132125663903. The next prime is 132125664017. The reversal of 132125664011 is 110466521231.

It is not a de Polignac number, because 132125664011 - 210 = 132125662987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132125664017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706046 + ... + 873356.

It is an arithmetic number, because the mean of its divisors is an integer number (4933027008).

Almost surely, 2132125664011 is an apocalyptic number.

132125664011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132125664011 is a deficient number, since it is larger than the sum of its proper divisors (25731200245).

132125664011 is a wasteful number, since it uses less digits than its factorization.

132125664011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167483.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 132125664011 in words is "one hundred thirty-two billion, one hundred twenty-five million, six hundred sixty-four thousand, eleven".

Divisors: 1 11 17 41 103 187 451 697 1133 1751 4223 7667 19261 46453 71791 167311 789701 1840421 2844287 6859751 17233033 31287157 75457261 116615767 189563363 292961561 706554353 1282773437 3222577171 7772097883 12011424001 132125664011