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132131102200 = 235213723920177
BaseRepresentation
bin111101100001110100…
…0001001110111111000
3110122001102222110020221
41323003220021313320
54131101030232300
6140411124025424
712355221560206
oct1730350116770
9418042873227
10132131102200
1151044620819
1221736532274
13c5c9562256
146576530076
153684ec131a
hex1ec3a09df8

132131102200 has 96 divisors (see below), whose sum is σ = 310757342400. Its totient is φ = 52244541440.

The previous prime is 132131102197. The next prime is 132131102219. The reversal of 132131102200 is 2201131231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6538512 + ... + 6558688.

It is an arithmetic number, because the mean of its divisors is an integer number (3237055650).

Almost surely, 2132131102200 is an apocalyptic number.

132131102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132131102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155378671200).

132131102200 is an abundant number, since it is smaller than the sum of its proper divisors (178626240200).

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

132131102200 is a wasteful number, since it uses less digits than its factorization.

132131102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20569 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132131102200 its reverse (2201131231), we get a palindrome (134332233431).

The spelling of 132131102200 in words is "one hundred thirty-two billion, one hundred thirty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 239 274 478 548 685 956 1096 1195 1370 1912 2390 2740 3425 4780 5480 5975 6850 9560 11950 13700 20177 23900 27400 32743 40354 47800 65486 80708 100885 130972 161416 163715 201770 261944 327430 403540 504425 654860 807080 818575 1008850 1309720 1637150 2017700 2764249 3274300 4035400 4822303 5528498 6548600 9644606 11056996 13821245 19289212 22113992 24111515 27642490 38578424 48223030 55284980 69106225 96446060 110569960 120557575 138212450 192892120 241115150 276424900 482230300 552849800 660655511 964460600 1321311022 2642622044 3303277555 5285244088 6606555110 13213110220 16516387775 26426220440 33032775550 66065551100 132131102200