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2133010000 = 24541119391
BaseRepresentation
bin111111100100011…
…0010011001010000
312111122122010122101
41333020302121100
513332022310000
6551353450144
7103600200022
oct17710623120
95448563571
102133010000
119a5034a90
124b6410954
1327cba7bc4
14163400012
15c73d7e6a
hex7f232650

2133010000 has 100 divisors (see below), whose sum is σ = 5633996544. Its totient is φ = 775600000.

The previous prime is 2133009961. The next prime is 2133010021. The reversal of 2133010000 is 103312.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100305 + ... + 119695.

Almost surely, 22133010000 is an apocalyptic number.

2133010000 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 2133010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816998272).

2133010000 is an abundant number, since it is smaller than the sum of its proper divisors (3500986544).

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

2133010000 is a wasteful number, since it uses less digits than its factorization.

2133010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19430 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2133010000 is about 46184.5212165288. The cubic root of 2133010000 is about 1287.2541397505.

Adding to 2133010000 its reverse (103312), we get a palindrome (2133113312).

The spelling of 2133010000 in words is "two billion, one hundred thirty-three million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 19391 22000 27500 38782 55000 77564 96955 110000 155128 193910 213301 310256 387820 426602 484775 775640 853204 969550 1066505 1551280 1706408 1939100 2133010 2423875 3412816 3878200 4266020 4847750 5332525 7756400 8532040 9695500 10665050 12119375 17064080 19391000 21330100 24238750 26662625 38782000 42660200 48477500 53325250 85320400 96955000 106650500 133313125 193910000 213301000 266626250 426602000 533252500 1066505000 2133010000