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1323132000 = 25353110261
BaseRepresentation
bin100111011011101…
…0110010001100000
310102012201001212220
41032313112101200
510202210211000
6335143151040
744534302461
oct11667262140
93365631786
101323132000
11619967723
1230b145480
13181176b58
14c7a22d68
157b25e1a0
hex4edd6460

1323132000 has 96 divisors (see below), whose sum is σ = 4334619744. Its totient is φ = 352832000.

The previous prime is 1323131959. The next prime is 1323132007. The reversal of 1323132000 is 2313231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323132007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43131 + ... + 67130.

It is an arithmetic number, because the mean of its divisors is an integer number (45152289).

Almost surely, 21323132000 is an apocalyptic number.

1323132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323132000 is an abundant number, since it is smaller than the sum of its proper divisors (3011487744).

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

1323132000 is a wasteful number, since it uses less digits than its factorization.

1323132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110289 (or 110271 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1323132000 is about 36374.8814431058. The cubic root of 1323132000 is about 1097.8282218724.

Adding to 1323132000 its reverse (2313231), we get a palindrome (1325445231).

The spelling of 1323132000 in words is "one billion, three hundred twenty-three million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 110261 220522 330783 441044 551305 661566 882088 1102610 1323132 1653915 1764176 2205220 2646264 2756525 3307830 3528352 4410440 5292528 5513050 6615660 8269575 8820880 10585056 11026100 13231320 13782625 16539150 17641760 22052200 26462640 27565250 33078300 41347875 44104400 52925280 55130500 66156600 82695750 88208800 110261000 132313200 165391500 220522000 264626400 330783000 441044000 661566000 1323132000