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21130211120 = 2454713674111
BaseRepresentation
bin10011101011011101…
…010110111100110000
32000112121012221102212
4103223131112330300
5321233313223440
613412421431252
71345424555024
oct235335267460
960477187385
1021130211120
118a634a93a7
12411856b528
131cb98a5705
14104644a384
1583a0bd465
hex4eb756f30

21130211120 has 80 divisors (see below), whose sum is σ = 50221928448. Its totient is φ = 8264190720.

The previous prime is 21130211117. The next prime is 21130211173. The reversal of 21130211120 is 2111203112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21130211095 and 21130211104.

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, 5137865 + ... + 5141975.

Almost surely, 221130211120 is an apocalyptic number.

21130211120 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 21130211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110964224).

21130211120 is an abundant number, since it is smaller than the sum of its proper divisors (29091717328).

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

21130211120 is a wasteful number, since it uses less digits than its factorization.

21130211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21130211120 its reverse (2111203112), we get a palindrome (23241414232).

The spelling of 21130211120 in words is "twenty-one billion, one hundred thirty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1367 1880 2734 3760 4111 5468 6835 8222 10936 13670 16444 20555 21872 27340 32888 41110 54680 64249 65776 82220 109360 128498 164440 193217 256996 321245 328880 386434 513992 642490 772868 966085 1027984 1284980 1545736 1932170 2569960 3091472 3864340 5139920 5619737 7728680 11239474 15457360 22478948 28098685 44957896 56197370 89915792 112394740 224789480 264127639 449578960 528255278 1056510556 1320638195 2113021112 2641276390 4226042224 5282552780 10565105560 21130211120