Search a number
-
+
2130011312 = 2411136011549
BaseRepresentation
bin111111011110101…
…0110010010110000
312111102222210012212
41332331112102300
513330240330222
6551205311252
7103532540342
oct17675262260
95442883185
102130011312
119a3377030
124b5405528
1327c398030
14162c5d292
15c6ee46e2
hex7ef564b0

2130011312 has 80 divisors (see below), whose sum is σ = 4859584800. Its totient is φ = 891648000.

The previous prime is 2130011309. The next prime is 2130011327. The reversal of 2130011312 is 2131100312.

It is a super-2 number, since 2×21300113122 = 9073896378495922688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374314 + ... + 1375862.

It is an arithmetic number, because the mean of its divisors is an integer number (60744810).

Almost surely, 22130011312 is an apocalyptic number.

2130011312 is a gapful number since it is divisible by the number (22) 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 2130011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429792400).

2130011312 is an abundant number, since it is smaller than the sum of its proper divisors (2729573488).

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

2130011312 is a wasteful number, since it uses less digits than its factorization.

2130011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2130011312 is about 46152.0455884677. The cubic root of 2130011312 is about 1286.6506289296.

Adding to 2130011312 its reverse (2131100312), we get a palindrome (4261111624).

The spelling of 2130011312 in words is "two billion, one hundred thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 601 1144 1202 1549 2288 2404 3098 4808 6196 6611 7813 9616 12392 13222 15626 17039 20137 24784 26444 31252 34078 40274 52888 62504 68156 80548 85943 105776 125008 136312 161096 171886 221507 272624 322192 343772 443014 687544 886028 930949 1375088 1772056 1861898 3544112 3723796 7447592 10240439 12102337 14895184 20480878 24204674 40961756 48409348 81923512 96818696 133125707 163847024 193637392 266251414 532502828 1065005656 2130011312