Search a number
-
+
2100212130 = 235172376547
BaseRepresentation
bin111110100101110…
…1011000110100010
312102100220211102110
41331023223012202
513300123242010
6544222500150
7103021336302
oct17513530642
95370824373
102100212130
11988573505
124a7434656
13276163593
1415cd03602
15c45aa120
hex7d2eb1a2

2100212130 has 96 divisors (see below), whose sum is σ = 5500005696. Its totient is φ = 512787456.

The previous prime is 2100212111. The next prime is 2100212141. The reversal of 2100212130 is 312120012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317517 + ... + 324063.

It is an arithmetic number, because the mean of its divisors is an integer number (57291726).

Almost surely, 22100212130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750002848).

2100212130 is an abundant number, since it is smaller than the sum of its proper divisors (3399793566).

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

2100212130 is a wasteful number, since it uses less digits than its factorization.

2100212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100212130 is about 45828.0714191640. The cubic root of 2100212130 is about 1280.6222824656.

Adding to 2100212130 its reverse (312120012), we get a palindrome (2412332142).

The spelling of 2100212130 in words is "two billion, one hundred million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 289 370 510 555 578 629 867 1110 1258 1445 1734 1887 2890 3145 3774 4335 6290 6547 8670 9435 10693 13094 18870 19641 21386 32079 32735 39282 53465 64158 65470 98205 106930 111299 160395 196410 222598 242239 320790 333897 484478 556495 667794 726717 1112990 1211195 1453434 1669485 1892083 2422390 3338970 3633585 3784166 4118063 5676249 7267170 8236126 9460415 11352498 12354189 18920830 20590315 24708378 28381245 41180630 56762490 61770945 70007071 123541890 140014142 210021213 350035355 420042426 700070710 1050106065 2100212130