Search a number
-
+
132104401 = 11131038969
BaseRepresentation
bin1111101111111…
…00000011010001
3100012120121011121
413313330003101
5232304320101
621035242241
73162604012
oct767740321
9305517147
10132104401
1168629aa0
12382a9381
13214a45b0
141378b009
15b8e70a1
hex7dfc0d1

132104401 has 16 divisors (see below), whose sum is σ = 156723840. Its totient is φ = 109768320.

The previous prime is 132104351. The next prime is 132104407. The reversal of 132104401 is 104401231.

It is a cyclic number.

It is not a de Polignac number, because 132104401 - 215 = 132071633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132104407) 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, 10245 + ... + 19213.

It is an arithmetic number, because the mean of its divisors is an integer number (9795240).

Almost surely, 2132104401 is an apocalyptic number.

132104401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132104401 is a deficient number, since it is larger than the sum of its proper divisors (24619439).

132104401 is a wasteful number, since it uses less digits than its factorization.

132104401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9096.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132104401 is about 11493.6678653944. The cubic root of 132104401 is about 509.2985371118.

Subtracting from 132104401 its sum of digits (16), we obtain a triangular number (132104385 = T16254).

Adding to 132104401 its reverse (104401231), we get a palindrome (236505632).

The spelling of 132104401 in words is "one hundred thirty-two million, one hundred four thousand, four hundred one".

Divisors: 1 11 13 103 143 1133 1339 8969 14729 98659 116597 923807 1282567 10161877 12009491 132104401