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10110201112220 = 22511347578322901
BaseRepresentation
bin1001001100011111011011…
…1100100010011010011100
31022210112012022001210022012
42103013312330202122130
52311121142441042340
633300321241210352
72062303131343616
oct223076674423234
938715168053265
1010110201112220
113248791a56780
121173511a909b8
1358450720ba31
1426d49cd03db6
15127ec9a14565
hex931f6f2269c

10110201112220 has 96 divisors (see below), whose sum is σ = 23233330745856. Its totient is φ = 3665047904000.

The previous prime is 10110201112213. The next prime is 10110201112241. The reversal of 10110201112220 is 2221110201101.

It is a junction number, because it is equal to n+sod(n) for n = 10110201112195 and 10110201112204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441462770 + ... + 441485670.

It is an arithmetic number, because the mean of its divisors is an integer number (242013861936).

Almost surely, 210110201112220 is an apocalyptic number.

10110201112220 is a gapful number since it is divisible by the number (10) 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 10110201112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616665372928).

10110201112220 is an abundant number, since it is smaller than the sum of its proper divisors (13123129633636).

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

10110201112220 is a wasteful number, since it uses less digits than its factorization.

10110201112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29051 (or 29049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110201112220 its reverse (2221110201101), we get a palindrome (12331311313321).

The spelling of 10110201112220 in words is "ten trillion, one hundred ten billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 347 694 1388 1735 3470 3817 5783 6940 7634 11566 15268 19085 22901 23132 28915 38170 45802 57830 63613 76340 91604 114505 115660 127226 229010 251911 254452 318065 458020 503822 636130 1007644 1259555 1272260 2006701 2519110 4013402 5038220 7946647 8026804 10033505 15893294 20067010 22073711 31786588 39733235 40134020 44147422 79466470 87413117 88294844 110368555 132436483 158932940 174826234 220737110 264872966 349652468 437065585 441474220 529745932 662182415 874131170 1324364830 1456801313 1748262340 2648729660 2913602626 5827205252 7284006565 14568013130 29136026260 45955459601 91910919202 183821838404 229777298005 459554596010 505510055611 919109192020 1011020111222 2022040222444 2527550278055 5055100556110 10110201112220