Search a number
-
+
132133331132100 = 223252146814812369
BaseRepresentation
bin11110000010110010110000…
…010000111101111011000100
3122022211211020000220102112200
4132002302300100331323010
5114304333030232211400
61145005114143514500
736555214060141344
oct3602626020757304
9568754200812480
10132133331132100
1139113481795a81
12129a03a92b8a30
135896172b8375c
14248b4046b8d24
151042157a8bb00
hex782cb043dec4

132133331132100 has 54 divisors (see below), whose sum is σ = 414164585695770. Its totient is φ = 35235554968320.

The previous prime is 132133331132087. The next prime is 132133331132111. The reversal of 132133331132100 is 1231133331231.

132133331132100 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 3 + 331 + 1 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5643180789444 + 126490150342656 = 2375538^2 + 11246784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73407405285 + ... + 73407407084.

Almost surely, 2132133331132100 is an apocalyptic number.

132133331132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133331132100 is an abundant number, since it is smaller than the sum of its proper divisors (282031254563670).

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

132133331132100 is a wasteful number, since it uses less digits than its factorization.

132133331132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146814812389 (or 146814812379 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132133331132100 its reverse (1231133331231), we get a palindrome (133364464463331).

The spelling of 132133331132100 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 146814812369 293629624738 440444437107 587259249476 734074061845 880888874214 1321333311321 1468148123690 1761777748428 2202222185535 2642666622642 2936296247380 3670370309225 4404444371070 5285333245284 6606666556605 7340740618450 8808888742140 11011110927675 13213333113210 14681481236900 22022221855350 26426666226420 33033332783025 44044443710700 66066665566050 132133331132100