Search a number
-
+
132563101 = 1143127961
BaseRepresentation
bin1111110011011…
…00000010011101
3100020102220101111
413321230002131
5232414004401
621053142021
73166524226
oct771540235
9306386344
10132563101
1168912690
123848a911
1321605308
141386a24d
15b987e51
hex7e6c09d

132563101 has 8 divisors (see below), whose sum is σ = 144955008. Its totient is φ = 120228000.

The previous prime is 132563083. The next prime is 132563141. The reversal of 132563101 is 101365231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132563101 - 29 = 132562589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132563141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9240 + ... + 18721.

It is an arithmetic number, because the mean of its divisors is an integer number (18119376).

Almost surely, 2132563101 is an apocalyptic number.

132563101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132563101 is a deficient number, since it is larger than the sum of its proper divisors (12391907).

132563101 is a wasteful number, since it uses less digits than its factorization.

132563101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28403.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 132563101 is about 11513.6050392568. The cubic root of 132563101 is about 509.8873274099.

The spelling of 132563101 in words is "one hundred thirty-two million, five hundred sixty-three thousand, one hundred one".

Divisors: 1 11 431 4741 27961 307571 12051191 132563101