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2130645500 = 2253311011361
BaseRepresentation
bin111111011111111…
…0001000111111100
312111111012000011022
41332333301013330
513330421124000
6551231043312
7103541121314
oct17677610774
95444160138
102130645500
119a376a555
124b5670538
1327c55a8a9
14162d86444
15c70bc585
hex7eff11fc

2130645500 has 96 divisors (see below), whose sum is σ = 4854560256. Its totient is φ = 816000000.

The previous prime is 2130645487. The next prime is 2130645511. The reversal of 2130645500 is 55460312.

It is a self number, because there is not a number n which added to its sum of digits gives 2130645500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1564820 + ... + 1566180.

It is an arithmetic number, because the mean of its divisors is an integer number (50568336).

Almost surely, 22130645500 is an apocalyptic number.

2130645500 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 2130645500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427280128).

2130645500 is an abundant number, since it is smaller than the sum of its proper divisors (2723914756).

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

2130645500 is a wasteful number, since it uses less digits than its factorization.

2130645500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2130645500 is about 46158.9157151682. The cubic root of 2130645500 is about 1286.7783117287.

The spelling of 2130645500 in words is "two billion, one hundred thirty million, six hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 125 155 202 250 310 404 500 505 620 775 1010 1361 1550 2020 2525 2722 3100 3131 3875 5050 5444 6262 6805 7750 10100 12524 12625 13610 15500 15655 25250 27220 31310 34025 42191 50500 62620 68050 78275 84382 136100 137461 156550 168764 170125 210955 274922 313100 340250 391375 421910 549844 680500 687305 782750 843820 1054775 1374610 1565500 2109550 2749220 3436525 4219100 4261291 5273875 6873050 8522582 10547750 13746100 17045164 17182625 21095500 21306455 34365250 42612910 68730500 85225820 106532275 213064550 426129100 532661375 1065322750 2130645500