Search a number
-
+
2101212120 = 233572357349
BaseRepresentation
bin111110100111101…
…1111001111011000
312102102210122011010
41331033133033120
513300402241440
6544300133520
7103033002600
oct17517371730
95372718133
102101212120
11989096847
124a78372a0
132764237a7
1415d0c3c00
15c4706580
hex7d3df3d8

2101212120 has 96 divisors (see below), whose sum is σ = 7332822000. Its totient is φ = 480275712.

The previous prime is 2101212119. The next prime is 2101212131. The reversal of 2101212120 is 212121012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101212096 and 2101212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172795 + ... + 184554.

Almost surely, 22101212120 is an apocalyptic number.

2101212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101212120 is an abundant number, since it is smaller than the sum of its proper divisors (5231609880).

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

2101212120 is a wasteful number, since it uses less digits than its factorization.

2101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357377 (or 357366 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2101212120 is about 45838.9803551519. The cubic root of 2101212120 is about 1280.8255010299.

Adding to 2101212120 its reverse (212121012), we get a palindrome (2313333132).

The spelling of 2101212120 in words is "two billion, one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 357349 714698 1072047 1429396 1786745 2144094 2501443 2858792 3573490 4288188 5002886 5360235 7146980 7504329 8576376 10005772 10720470 12507215 14293960 15008658 17510101 20011544 21440940 25014430 30017316 35020202 37521645 42881880 50028860 52530303 60034632 70040404 75043290 87550505 100057720 105060606 140080808 150086580 175101010 210121212 262651515 300173160 350202020 420242424 525303030 700404040 1050606060 2101212120