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132011113120101 = 3229505789705441
BaseRepresentation
bin11110000001000000111011…
…100000010000000101100101
3122022102010202110011010120200
4132001000323200100011211
5114300332224424320401
61144433022415421113
736543326306160555
oct3601007340200545
9568363673133520
10132011113120101
1139076664919696
121298077a824799
1358877962cc467
14248552c967165
15103dda300c686
hex78103b810165

132011113120101 has 12 divisors (see below), whose sum is σ = 197257985122380. Its totient is φ = 84972670513920.

The previous prime is 132011113120093. The next prime is 132011113120141. The reversal of 132011113120101 is 101021311110231.

132011113120101 is a `hidden beast` number, since 1 + 320 + 1 + 11 + 131 + 201 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57741016760001 + 74270096360100 = 7598751^2 + 8618010^2 .

It is not a de Polignac number, because 132011113120101 - 23 = 132011113120093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132011113120141) 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 11 ways as a sum of consecutive naturals, for example, 252894852460 + ... + 252894852981.

It is an arithmetic number, because the mean of its divisors is an integer number (16438165426865).

Almost surely, 2132011113120101 is an apocalyptic number.

It is an amenable number.

132011113120101 is a deficient number, since it is larger than the sum of its proper divisors (65246872002279).

132011113120101 is a wasteful number, since it uses less digits than its factorization.

132011113120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505789705476 (or 505789705473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 132011113120101 its reverse (101021311110231), we get a palindrome (233032424230332).

The spelling of 132011113120101 in words is "one hundred thirty-two trillion, eleven billion, one hundred thirteen million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 29 87 261 505789705441 1517369116323 4552107348969 14667901457789 44003704373367 132011113120101