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2130330000 = 2435471011
BaseRepresentation
bin111111011111010…
…0100000110010000
312111110120222101010
41332332210012100
513330331030000
6551220210520
7103535335431
oct17676440620
95443528333
102130330000
119a3574507
124b5539a40
1327c47a0c6
14162d03488
15c7058d50
hex7efa4190

2130330000 has 100 divisors (see below), whose sum is σ = 6877086128. Its totient is φ = 568080000.

The previous prime is 2130329983. The next prime is 2130330001. The reversal of 2130330000 is 330312.

It is a happy number.

2130330000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (2130330001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5506 + ... + 65505.

Almost surely, 22130330000 is an apocalyptic number.

2130330000 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 2130330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438543064).

2130330000 is an abundant number, since it is smaller than the sum of its proper divisors (4746756128).

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

2130330000 is an equidigital number, since it uses as much as digits as its factorization.

2130330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71042 (or 71021 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2130330000 is about 46155.4980473616. The cubic root of 2130330000 is about 1286.7147944210.

Adding to 2130330000 its reverse (330312), we get a palindrome (2130660312).

The spelling of 2130330000 in words is "two billion, one hundred thirty million, three hundred thirty 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 3750 5000 6000 7500 10000 15000 30000 71011 142022 213033 284044 355055 426066 568088 710110 852132 1065165 1136176 1420220 1704264 1775275 2130330 2840440 3408528 3550550 4260660 5325825 5680880 7101100 8521320 8876375 10651650 14202200 17042640 17752750 21303300 26629125 28404400 35505500 42606600 44381875 53258250 71011000 85213200 88763750 106516500 133145625 142022000 177527500 213033000 266291250 355055000 426066000 532582500 710110000 1065165000 2130330000