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2133150000 = 2435514221
BaseRepresentation
bin111111100100101…
…0100100100110000
312111122220020200120
41333021110210300
513332041300000
6551400450240
7103601322132
oct17711244460
95448806616
102133150000
119a5120193
124b6479980
1327cc26847
14163439052
15c74146a0
hex7f254930

2133150000 has 120 divisors (see below), whose sum is σ = 6888340368. Its totient is φ = 568800000.

The previous prime is 2133149999. The next prime is 2133150001. The reversal of 2133150000 is 513312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2133149999) and next prime (2133150001).

It is a tau number, because it is divible by the number of its divisors (120).

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 (2133150001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142890 + ... + 157110.

Almost surely, 22133150000 is an apocalyptic number.

2133150000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444170184).

2133150000 is an abundant number, since it is smaller than the sum of its proper divisors (4755190368).

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

2133150000 is an equidigital number, since it uses as much as digits as its factorization.

2133150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14257 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2133150000 is about 46186.0368509791. The cubic root of 2133150000 is about 1287.2823020871.

Adding to 2133150000 its reverse (513312), we get a palindrome (2133663312).

The spelling of 2133150000 in words is "two billion, one hundred thirty-three million, one hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 14221 15000 18750 25000 28442 30000 37500 42663 50000 56884 71105 75000 85326 113768 142210 150000 170652 213315 227536 284420 341304 355525 426630 568840 682608 711050 853260 1066575 1137680 1422100 1706520 1777625 2133150 2844200 3413040 3555250 4266300 5332875 5688400 7110500 8532600 8888125 10665750 14221000 17065200 17776250 21331500 26664375 28442000 35552500 42663000 44440625 53328750 71105000 85326000 88881250 106657500 133321875 142210000 177762500 213315000 266643750 355525000 426630000 533287500 711050000 1066575000 2133150000