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132112113 = 3722328211
BaseRepresentation
bin1111101111111…
…01111011110001
3100012120222202020
413313331323301
5232310041423
621035342053
73162635340
oct767757361
9305528666
10132112113
1168634871
12382b1929
13214a7c63
141378db57
15b8e94e3
hex7dfdef1

132112113 has 16 divisors (see below), whose sum is σ = 202223616. Its totient is φ = 75151440.

The previous prime is 132112091. The next prime is 132112147. The reversal of 132112113 is 311211231.

It is a happy number.

It is not a de Polignac number, because 132112113 - 29 = 132111601 is a prime.

It is a super-2 number, since 2×1321121132 = 34907220802649538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132112092 and 132112101.

It is not an unprimeable number, because it can be changed into a prime (132112213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9423 + ... + 18788.

It is an arithmetic number, because the mean of its divisors is an integer number (12638976).

Almost surely, 2132112113 is an apocalyptic number.

It is an amenable number.

132112113 is a deficient number, since it is larger than the sum of its proper divisors (70111503).

132112113 is a wasteful number, since it uses less digits than its factorization.

132112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28444.

The product of its digits is 36, while the sum is 15.

The square root of 132112113 is about 11494.0033495732. The cubic root of 132112113 is about 509.3084475409.

Adding to 132112113 its reverse (311211231), we get a palindrome (443323344).

The spelling of 132112113 in words is "one hundred thirty-two million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 21 223 669 1561 4683 28211 84633 197477 592431 6291053 18873159 44037371 132112113