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10105510056110 = 257435007767043
BaseRepresentation
bin1001001100001101111101…
…0101100101000010101110
31022210002002101000110002022
42103003133111211002232
52311032041033243420
633254223543430142
72062045650126320
oct223033725450256
938702071013068
1010105510056110
1132467a4a818a7
121172622a55352
13583c3a38cba1
1426d175ca3610
15127d02c86c25
hex930df5650ae

10105510056110 has 64 divisors (see below), whose sum is σ = 21272672881152. Its totient is φ = 3384052753536.

The previous prime is 10105510056101. The next prime is 10105510056151. The reversal of 10105510056110 is 1165001550101.

10105510056110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10105510056110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150698249 + ... + 150765291.

It is an arithmetic number, because the mean of its divisors is an integer number (332385513768).

Almost surely, 210105510056110 is an apocalyptic number.

10105510056110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105510056110 is an abundant number, since it is smaller than the sum of its proper divisors (11167162825042).

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

10105510056110 is a wasteful number, since it uses less digits than its factorization.

10105510056110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117177.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 10105510056110 in words is "ten trillion, one hundred five billion, five hundred ten million, fifty-six thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 43 70 86 215 301 430 602 1505 3010 50077 67043 100154 134086 250385 335215 350539 469301 500770 670430 701078 938602 1752695 2153311 2346505 2882849 3505390 4306622 4693010 5765698 10766555 14414245 15073177 20179943 21533110 28828490 30146354 40359886 75365885 100899715 150731770 201799430 3357312311 6714624622 16786561555 23501186177 33573123110 47002372354 117505930885 144364429373 235011861770 288728858746 721822146865 1010551005611 1443644293730 2021102011222 5052755028055 10105510056110