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132120202400 = 2552165150253
BaseRepresentation
bin111101100001011111…
…0100100110010100000
3110122000200110200112122
41323002332210302200
54131040232434100
6140410054243412
712355030122314
oct1730276446240
9418020420478
10132120202400
115103945661a
1221732956568
13c5c7216c74
146574cd3b44
15368406b985
hex1ec2fa4ca0

132120202400 has 36 divisors (see below), whose sum is σ = 322538446062. Its totient is φ = 52848080640.

The previous prime is 132120202381. The next prime is 132120202447. The reversal of 132120202400 is 4202021231.

It can be written as a sum of positive squares in 3 ways, for example, as 127909230736 + 4210971664 = 357644^2 + 64892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82574327 + ... + 82575926.

Almost surely, 2132120202400 is an apocalyptic number.

132120202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120202400 is an abundant number, since it is smaller than the sum of its proper divisors (190418243662).

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

132120202400 is a wasteful number, since it uses less digits than its factorization.

132120202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165150273 (or 165150260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 132120202400 its reverse (4202021231), we get a palindrome (136322223631).

The spelling of 132120202400 in words is "one hundred thirty-two billion, one hundred twenty million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 165150253 330300506 660601012 825751265 1321202024 1651502530 2642404048 3303005060 4128756325 5284808096 6606010120 8257512650 13212020240 16515025300 26424040480 33030050600 66060101200 132120202400