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110020210210020 = 223511241369617047
BaseRepresentation
bin11001000001000000010011…
…100011000011010011100100
3112102112211101121121211022010
4121001000103203003103210
5103410032342303210040
61025554330430434220
732113461241463625
oct3101002343032344
9472484347554263
10110020210210020
1132068344496100
121040a7a1962970
134950b27399706
141d25014105a4c
15cabd28b52e80
hex6410138c34e4

110020210210020 has 144 divisors (see below), whose sum is σ = 346866379461504. Its totient is φ = 26021040038400.

The previous prime is 110020210210019. The next prime is 110020210210021. The reversal of 110020210210020 is 20012012020011.

It is an interprime number because it is at equal distance from previous prime (110020210210019) and next prime (110020210210021).

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 = 110020210209978 and 110020210210005.

It is not an unprimeable number, because it can be changed into a prime (110020210210021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184510864 + ... + 185106183.

It is an arithmetic number, because the mean of its divisors is an integer number (2408794301816).

Almost surely, 2110020210210020 is an apocalyptic number.

110020210210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020210210020 is an abundant number, since it is smaller than the sum of its proper divisors (236846169251484).

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

110020210210020 is a wasteful number, since it uses less digits than its factorization.

110020210210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369617122 (or 369617109 counting only the distinct ones).

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

Adding to 110020210210020 its reverse (20012012020011), we get a palindrome (130032222230031).

The spelling of 110020210210020 in words is "one hundred ten trillion, twenty billion, two hundred ten million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 121 123 132 164 165 205 220 242 246 330 363 410 451 484 492 605 615 660 726 820 902 1210 1230 1353 1452 1804 1815 2255 2420 2460 2706 3630 4510 4961 5412 6765 7260 9020 9922 13530 14883 19844 24805 27060 29766 49610 59532 74415 99220 148830 297660 369617047 739234094 1108851141 1478468188 1848085235 2217702282 3696170470 4065787517 4435404564 5544255705 7392340940 8131575034 11088511410 12197362551 15154298927 16263150068 20328937585 22177022820 24394725102 30308597854 40657875170 44723662687 45462896781 48789450204 60617195708 60986812755 75771494635 81315750340 89447325374 90925793562 121973625510 134170988061 151542989270 166697288197 178894650748 181851587124 223618313435 227314483905 243947251020 268341976122 303085978540 333394576394 447236626870 454628967810 500091864591 536683952244 666789152788 670854940305 833486440985 894473253740 909257935620 1000183729182 1341709880610 1666972881970 1833670170167 2000367458364 2500459322955 2683419761220 3333945763940 3667340340334 5000918645910 5501010510501 7334680680668 9168350850835 10001837291820 11002021021002 18336701701670 22004042042004 27505052552505 36673403403340 55010105105010 110020210210020