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21130402322100 = 22352137619782963
BaseRepresentation
bin1001100110111110011100…
…00111111101011010110100
32202211001021001212020221010
410303133032013331122310
510232200030443301400
6112535101154552220
74310423032151001
oct463371607753264
982731231766833
1021130402322100
116807398273665
122453268b98670
13ba37858c95c6
14530a0737a8a8
152699b4932450
hex1337ce1fd6b4

21130402322100 has 144 divisors (see below), whose sum is σ = 61594235091648. Its totient is φ = 5592674165760.

The previous prime is 21130402322093. The next prime is 21130402322123. The reversal of 21130402322100 is 122320403112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254655219 + ... + 254738181.

It is an arithmetic number, because the mean of its divisors is an integer number (427737743692).

Almost surely, 221130402322100 is an apocalyptic number.

21130402322100 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 21130402322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30797117545824).

21130402322100 is an abundant number, since it is smaller than the sum of its proper divisors (40463832769548).

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

21130402322100 is a wasteful number, since it uses less digits than its factorization.

21130402322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89314 (or 89307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21130402322100 its reverse (122320403112), we get a palindrome (21252722725212).

The spelling of 21130402322100 in words is "twenty-one trillion, one hundred thirty billion, four hundred two million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1370 1644 2055 2740 3425 4110 6197 6850 8220 10275 12394 13700 18591 20550 24788 30985 37182 41100 61970 74364 82963 92955 123940 154925 165926 185910 248889 309850 331852 371820 414815 464775 497778 619700 829630 848989 929550 995556 1244445 1659260 1697978 1859100 2074075 2488890 2546967 3395956 4148150 4244945 4977780 5093934 6222225 8296300 8489890 10187868 11365931 12444450 12734835 16979780 21224725 22731862 24888900 25469670 34097793 42449450 45463724 50939340 56829655 63674175 68195586 84898900 113659310 127348350 136391172 170488965 227318620 254696700 284148275 340977930 514121711 568296550 681955860 852444825 1028243422 1136593100 1542365133 1704889650 2056486844 2570608555 3084730266 3409779300 5141217110 6169460532 7711825665 10282434220 12853042775 15423651330 25706085550 30847302660 38559128325 51412171100 70434674407 77118256650 140869348814 154236513300 211304023221 281738697628 352173372035 422608046442 704346744070 845216092884 1056520116105 1408693488140 1760866860175 2113040232210 3521733720350 4226080464420 5282600580525 7043467440700 10565201161050 21130402322100