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132406101 = 3223897187
BaseRepresentation
bin1111110010001…
…01101101010101
3100020010221000200
413321011231111
5232343443401
621045531113
73165301422
oct771055525
9306127020
10132406101
1168815733
1238413a99
132157ba09
1413828d49
15b956686
hex7e45b55

132406101 has 24 divisors (see below), whose sum is σ = 201839040. Its totient is φ = 83472576.

The previous prime is 132406093. The next prime is 132406103. The reversal of 132406101 is 101604231.

It is a happy number.

132406101 is a `hidden beast` number, since 13 + 2 + 40 + 610 + 1 = 666.

It is not a de Polignac number, because 132406101 - 23 = 132406093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132406103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14830 + ... + 22016.

It is an arithmetic number, because the mean of its divisors is an integer number (8409960).

Almost surely, 2132406101 is an apocalyptic number.

It is an amenable number.

132406101 is a deficient number, since it is larger than the sum of its proper divisors (69432939).

132406101 is a wasteful number, since it uses less digits than its factorization.

132406101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132406101 is about 11506.7849984259. The cubic root of 132406101 is about 509.6859542934.

The spelling of 132406101 in words is "one hundred thirty-two million, four hundred six thousand, one hundred one".

Divisors: 1 3 9 23 69 89 207 267 801 2047 6141 7187 18423 21561 64683 165301 495903 639643 1487709 1918929 5756787 14711789 44135367 132406101