Search a number
-
+
2411130020 = 22513192321221
BaseRepresentation
bin1000111110110110…
…1110110010100100
320020000222002120212
42033231232302210
514414222130040
61035130514552
7113515160405
oct21755566244
96200862525
102411130020
111028024742
12573595a58
132c56b4970
1418c3199ac
15e1a23d65
hex8fb6eca4

2411130020 has 96 divisors (see below), whose sum is σ = 5989697280. Its totient is φ = 806699520.

The previous prime is 2411130011. The next prime is 2411130047. The reversal of 2411130020 is 200311142.

It is a junction number, because it is equal to n+sod(n) for n = 2411129977 and 2411130004.

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, 103010 + ... + 124230.

It is an arithmetic number, because the mean of its divisors is an integer number (62392680).

Almost surely, 22411130020 is an apocalyptic number.

2411130020 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 2411130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994848640).

2411130020 is an abundant number, since it is smaller than the sum of its proper divisors (3578567260).

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

2411130020 is a wasteful number, since it uses less digits than its factorization.

2411130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21285 (or 21283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2411130020 is about 49103.2587513293. The cubic root of 2411130020 is about 1340.9323762718.

Adding to 2411130020 its reverse (200311142), we get a palindrome (2611441162).

The spelling of 2411130020 in words is "two billion, four hundred eleven million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 23 26 38 46 52 65 76 92 95 115 130 190 230 247 260 299 380 437 460 494 598 874 988 1196 1235 1495 1748 2185 2470 2990 4370 4940 5681 5980 8740 11362 21221 22724 28405 42442 56810 84884 106105 113620 212210 275873 403199 424420 488083 551746 806398 976166 1103492 1379365 1612796 1952332 2015995 2440415 2758730 4031990 4880830 5241587 5517460 6345079 8063980 9273577 9761660 10483174 12690158 18547154 20966348 25380316 26207935 31725395 37094308 46367885 52415870 63450790 92735770 104831740 120556501 126901580 185471540 241113002 482226004 602782505 1205565010 2411130020