Search a number
-
+
132766045401 = 31110139833797
BaseRepresentation
bin111101110100101111…
…0010001010011011001
3110200200200201220120210
41323221132101103121
54133401101423101
6140554125041333
712410031523443
oct1735136212331
9420620656523
10132766045401
115133aa75a70
12218930b6249
13c69ac73aa2
1465d69b1493
1536c0ae27d6
hex1ee97914d9

132766045401 has 16 divisors (see below), whose sum is σ = 195026275008. Its totient is φ = 79667592000.

The previous prime is 132766045369. The next prime is 132766045459. The reversal of 132766045401 is 104540667231.

It is a happy number.

It is not a de Polignac number, because 132766045401 - 25 = 132766045369 is a prime.

It is a super-2 number, since 2×1327660454012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132766045401.

It is not an unprimeable number, because it can be changed into a prime (132766045201) 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, 19913566 + ... + 19920231.

It is an arithmetic number, because the mean of its divisors is an integer number (12189142188).

Almost surely, 2132766045401 is an apocalyptic number.

132766045401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132766045401 is a deficient number, since it is larger than the sum of its proper divisors (62260229607).

132766045401 is a wasteful number, since it uses less digits than its factorization.

132766045401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39833912.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 132766045401 in words is "one hundred thirty-two billion, seven hundred sixty-six million, forty-five thousand, four hundred one".

Divisors: 1 3 11 33 101 303 1111 3333 39833797 119501391 438171767 1314515301 4023213497 12069640491 44255348467 132766045401