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110100105056 = 2517414936339
BaseRepresentation
bin110011010001001111…
…0100100011101100000
3101112012001202211200202
41212202132210131200
53300441111330211
6122325043204332
710645245310634
oct1464236443540
9345161684622
10110100105056
1142769703567
12194083766a8
13a4c8179476
145486600dc4
152ce5cbd53b
hex19a27a4760

110100105056 has 48 divisors (see below), whose sum is σ = 235108001520. Its totient is φ = 50548101120.

The previous prime is 110100105029. The next prime is 110100105061. The reversal of 110100105056 is 650501001011.

110100105056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2445866 + ... + 2490473.

It is an arithmetic number, because the mean of its divisors is an integer number (4898083365).

Almost surely, 2110100105056 is an apocalyptic number.

110100105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110100105056 is an abundant number, since it is smaller than the sum of its proper divisors (125007896464).

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

110100105056 is a wasteful number, since it uses less digits than its factorization.

110100105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936407 (or 4936399 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 110100105056 its reverse (650501001011), we get a palindrome (760601106067).

The spelling of 110100105056 in words is "one hundred ten billion, one hundred million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 11152 22304 4936339 9872678 19745356 39490712 78981424 83917763 157962848 167835526 202389899 335671052 404779798 671342104 809559596 1342684208 1619119192 2685368416 3238238384 3440628283 6476476768 6881256566 13762513132 27525026264 55050052528 110100105056