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132123010113 = 38103195511
BaseRepresentation
bin111101100001100100…
…1010010010001000001
3110122000212202100000000
41323003021102101001
54131041442310423
6140410234350213
712355063025133
oct1730311222101
9418025670000
10132123010113
115103aaa4046
122173388b369
13c5c798ac33
146575425053
153684423843
hex1ec3252441

132123010113 has 36 divisors (see below), whose sum is σ = 200099493568. Its totient is φ = 87226395480.

The previous prime is 132123010093. The next prime is 132123010121. The reversal of 132123010113 is 311010321231.

132123010113 is a `hidden beast` number, since 1 + 321 + 230 + 1 + 0 + 113 = 666.

It is not a de Polignac number, because 132123010113 - 220 = 132121961537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132123010183) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578028 + ... + 773538.

Almost surely, 2132123010113 is an apocalyptic number.

It is an amenable number.

132123010113 is a deficient number, since it is larger than the sum of its proper divisors (67976483455).

132123010113 is an frugal number, since it uses more digits than its factorization.

132123010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195638 (or 195617 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132123010113 its reverse (311010321231), we get a palindrome (443133331344).

The spelling of 132123010113 in words is "one hundred thirty-two billion, one hundred twenty-three million, ten thousand, one hundred thirteen".

Divisors: 1 3 9 27 81 103 243 309 729 927 2187 2781 6561 8343 25029 75087 195511 225261 586533 675783 1759599 5278797 15836391 20137633 47509173 60412899 142527519 181238697 427582557 543716091 1282747671 1631148273 4893444819 14680334457 44041003371 132123010113