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132113011100 = 22527226961839
BaseRepresentation
bin111101100001010001…
…1001001000110011100
3110122000011221022221012
41323002203021012130
54131031412323400
6140405240154352
712354612031400
oct1730243110634
9418004838835
10132113011100
11510353946a4
12217304689b8
13c5c5899965
146573d81100
1536835ead35
hex1ec28c919c

132113011100 has 54 divisors (see below), whose sum is σ = 333490998960. Its totient is φ = 45295887840.

The previous prime is 132113011099. The next prime is 132113011111. The reversal of 132113011100 is 1110311231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13476020 + ... + 13485819.

It is an arithmetic number, because the mean of its divisors is an integer number (6175759240).

Almost surely, 2132113011100 is an apocalyptic number.

132113011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113011100 is an abundant number, since it is smaller than the sum of its proper divisors (201377987860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132113011100 is a wasteful number, since it uses less digits than its factorization.

132113011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26961867 (or 26961853 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 132113011100 its reverse (1110311231), we get a palindrome (133223322331).

The spelling of 132113011100 in words is "one hundred thirty-two billion, one hundred thirteen million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 26961839 53923678 107847356 134809195 188732873 269618390 377465746 539236780 674045975 754931492 943664365 1321130111 1348091950 1887328730 2642260222 2696183900 3774657460 4718321825 5284520444 6605650555 9436643650 13211301110 18873287300 26422602220 33028252775 66056505550 132113011100