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132330310400 = 285220676611
BaseRepresentation
bin111101100111110000…
…0000100101100000000
3110122120022211021112102
41323033200010230000
54132003024413100
6140443001445532
712363161036141
oct1731740045400
9418508737472
10132330310400
11511370128a2
12217911a08a8
13c62b900022
146594b87ac8
153697720cd5
hex1ecf804b00

132330310400 has 54 divisors (see below), whose sum is σ = 327538210692. Its totient is φ = 52932121600.

The previous prime is 132330310381. The next prime is 132330310429. The reversal of 132330310400 is 4013033231.

It is a super-2 number, since 2×1323303104002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 10331906 + ... + 10344705.

Almost surely, 2132330310400 is an apocalyptic number.

132330310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132330310400 is an abundant number, since it is smaller than the sum of its proper divisors (195207900292).

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

132330310400 is an equidigital number, since it uses as much as digits as its factorization.

132330310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676637 (or 20676618 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132330310400 its reverse (4013033231), we get a palindrome (136343343631).

The spelling of 132330310400 in words is "one hundred thirty-two billion, three hundred thirty million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 20676611 41353222 82706444 103383055 165412888 206766110 330825776 413532220 516915275 661651552 827064440 1033830550 1323303104 1654128880 2067661100 2646606208 3308257760 4135322200 5293212416 6616515520 8270644400 13233031040 16541288800 26466062080 33082577600 66165155200 132330310400