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132100111 = 11135771601
BaseRepresentation
bin1111101111110…
…11000000001111
3100012120101021201
413313323000033
5232304200421
621035210331
73162555343
oct767730017
9305511251
10132100111
1168626850
12382a69a7
13214a2660
1413789623
15b8e5b91
hex7dfb00f

132100111 has 16 divisors (see below), whose sum is σ = 155560608. Its totient is φ = 110592000.

The previous prime is 132100099. The next prime is 132100139. The reversal of 132100111 is 111001231.

It is a 15-Lehmer number, since φ(132100111) divides (132100111-1)15.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132100111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100151) 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 15 ways as a sum of consecutive naturals, for example, 81711 + ... + 83311.

It is an arithmetic number, because the mean of its divisors is an integer number (9722538).

Almost surely, 2132100111 is an apocalyptic number.

132100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132100111 is a deficient number, since it is larger than the sum of its proper divisors (23460497).

132100111 is a wasteful number, since it uses less digits than its factorization.

132100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 132100111 is about 11493.4812393809. The cubic root of 132100111 is about 509.2930240117.

Adding to 132100111 its reverse (111001231), we get a palindrome (243101342).

The spelling of 132100111 in words is "one hundred thirty-two million, one hundred thousand, one hundred eleven".

Divisors: 1 11 13 143 577 1601 6347 7501 17611 20813 82511 228943 923777 10161547 12009101 132100111