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2151130000 = 2454892417
BaseRepresentation
bin1000000000110111…
…1010001110010000
312112220201201121111
42000031322032100
513401142130000
6553242103104
7104210206015
oct20015721620
95486651544
102151130000
11a04290898
125004aaa94
132838806b6
1416599970c
15c8cb6cba
hex8037a390

2151130000 has 100 divisors (see below), whose sum is σ = 5268797820. Its totient is φ = 850432000.

The previous prime is 2151129991. The next prime is 2151130001. The reversal of 2151130000 is 311512.

2151130000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1369592064 + 781537936 = 37008^2 + 27956^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2151130001) 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, 888792 + ... + 891208.

Almost surely, 22151130000 is an apocalyptic number.

2151130000 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 2151130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634398910).

2151130000 is an abundant number, since it is smaller than the sum of its proper divisors (3117667820).

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

2151130000 is an equidigital number, since it uses as much as digits as its factorization.

2151130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 2151130000 is about 46380.2759802052. The cubic root of 2151130000 is about 1290.8889572040. Note that the first 3 decimals are identical.

Adding to 2151130000 its reverse (311512), we get a palindrome (2151441512).

The spelling of 2151130000 in words is "two billion, one hundred fifty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2417 2500 3560 4450 4834 5000 7120 8900 9668 10000 11125 12085 17800 19336 22250 24170 35600 38672 44500 48340 55625 60425 89000 96680 111250 120850 178000 193360 215113 222500 241700 302125 430226 445000 483400 604250 860452 890000 966800 1075565 1208500 1510625 1720904 2151130 2417000 3021250 3441808 4302260 4834000 5377825 6042500 8604520 10755650 12085000 17209040 21511300 24170000 26889125 43022600 53778250 86045200 107556500 134445625 215113000 268891250 430226000 537782500 1075565000 2151130000