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132803979300 = 22345216395553
BaseRepresentation
bin111101110101110111…
…0111110100000100100
3110200210100010011010000
41323223232332200210
54133440304314200
6141002002101300
712411002125056
oct1735356764044
9420710104100
10132803979300
115135a4252a3
12218a394a830
13c6a5a96095
1465dba478d6
1536c40d7300
hex1eebbbe824

132803979300 has 90 divisors (see below), whose sum is σ = 430498061378. Its totient is φ = 35414392320.

The previous prime is 132803979263. The next prime is 132803979313. The reversal of 132803979300 is 3979308231.

It can be written as a sum of positive squares in 3 ways, for example, as 127373796 + 132676605504 = 11286^2 + 364248^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8189677 + ... + 8205876.

Almost surely, 2132803979300 is an apocalyptic number.

132803979300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132803979300 is an abundant number, since it is smaller than the sum of its proper divisors (297694082078).

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

132803979300 is a wasteful number, since it uses less digits than its factorization.

132803979300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16395579 (or 16395563 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 132803979300 in words is "one hundred thirty-two billion, eight hundred three million, nine hundred seventy-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16395553 32791106 49186659 65582212 81977765 98373318 147559977 163955530 196746636 245933295 295119954 327911060 409888825 442679931 491866590 590239908 737799885 819777650 885359862 983733180 1229666475 1328039793 1475599770 1639555300 1770719724 2213399655 2459332950 2656079586 2951199540 3688999425 4426799310 4918665900 5312159172 6640198965 7377998850 8853598620 11066998275 13280397930 14755997700 22133996550 26560795860 33200994825 44267993100 66401989650 132803979300