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2133132000 = 25353177761
BaseRepresentation
bin111111100100101…
…0000001011100000
312111122212022222220
41333021100023200
513332040211000
6551400231040
7103601215506
oct17711201340
95448768886
102133132000
119a510870a
124b646b480
1327cc1b5ac
14163432676
15c740e1a0
hex7f2502e0

2133132000 has 96 divisors (see below), whose sum is σ = 6988179744. Its totient is φ = 568832000.

The previous prime is 2133131999. The next prime is 2133132011. The reversal of 2133132000 is 2313312.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76881 + ... + 100880.

It is an arithmetic number, because the mean of its divisors is an integer number (72793539).

Almost surely, 22133132000 is an apocalyptic number.

2133132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133132000 is an abundant number, since it is smaller than the sum of its proper divisors (4855047744).

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

2133132000 is a wasteful number, since it uses less digits than its factorization.

2133132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177789 (or 177771 counting only the distinct ones).

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

The square root of 2133132000 is about 46185.8419864789. The cubic root of 2133132000 is about 1287.2786812843.

Adding to 2133132000 its reverse (2313312), we get a palindrome (2135445312).

The spelling of 2133132000 in words is "two billion, one hundred thirty-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 177761 355522 533283 711044 888805 1066566 1422088 1777610 2133132 2666415 2844176 3555220 4266264 4444025 5332830 5688352 7110440 8532528 8888050 10665660 13332075 14220880 17065056 17776100 21331320 22220125 26664150 28441760 35552200 42662640 44440250 53328300 66660375 71104400 85325280 88880500 106656600 133320750 142208800 177761000 213313200 266641500 355522000 426626400 533283000 711044000 1066566000 2133132000