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110201200112010 = 23571933738188363
BaseRepresentation
bin11001000011101000110111…
…011000101111000110001010
3112110012010120010001110210110
4121003220313120233012022
5103421014024212041020
61030213422112255150
732132526320326440
oct3103506730570612
9473163503043713
10110201200112010
11321280805842a7
1210439892b414b6
134964c0c123a87
141d2daa3580b90
15cb18bd1e58e0
hex643a3762f18a

110201200112010 has 128 divisors (see below), whose sum is σ = 318269262366720. Its totient is φ = 23856039357696.

The previous prime is 110201200111999. The next prime is 110201200112011. The reversal of 110201200112010 is 10211002102011.

It is a super-2 number, since 2×1102012001120102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110201200112011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9364089 + ... + 17552451.

It is an arithmetic number, because the mean of its divisors is an integer number (2486478612240).

Almost surely, 2110201200112010 is an apocalyptic number.

110201200112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201200112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159134631183360).

110201200112010 is an abundant number, since it is smaller than the sum of its proper divisors (208068062254710).

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

110201200112010 is a wasteful number, since it uses less digits than its factorization.

110201200112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191772.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110201200112010 its reverse (10211002102011), we get a palindrome (120412202214021).

The spelling of 110201200112010 in words is "one hundred ten trillion, two hundred one billion, two hundred million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3373 3990 6746 10119 16865 20238 23611 33730 47222 50595 64087 70833 101190 118055 128174 141666 192261 236110 320435 354165 384522 448609 640870 708330 897218 961305 1345827 1922610 2243045 2691654 4486090 6729135 8188363 13458270 16376726 24565089 40941815 49130178 57318541 81883630 114637082 122825445 155578897 171955623 245650890 286592705 311157794 343911246 466736691 573185410 777894485 859778115 933473382 1089052279 1555788970 1719556230 2178104558 2333683455 3267156837 4667366910 5445261395 6534313674 10890522790 16335784185 27619348399 32671568370 55238696798 82858045197 138096741995 165716090394 193335438793 276193483990 386670877586 414290225985 524767619581 580006316379 828580451970 966677193965 1049535239162 1160012632758 1574302858743 1933354387930 2623838097905 2900031581895 3148605717486 3673373337067 5247676195810 5800063163790 7346746674134 7871514293715 11020120011201 15743028587430 18366866685335 22040240022402 36733733370670 55100600056005 110201200112010