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110055111061049 = 71119413615150753
BaseRepresentation
bin11001000001100000110011…
…110011001110111000111001
3112102200011110220201202102022
4121001200303303032320321
5103411120331412423144
61030022341533044225
732116135151021120
oct3101406363167071
9472604426652368
10110055111061049
1132081124077040
1210415502026675
1349541c9bb705b
141d269a53a2ab7
15cacbbcb4acee
hex641833ccee39

110055111061049 has 64 divisors (see below), whose sum is σ = 147962998149120. Its totient is φ = 79258383360000.

The previous prime is 110055111060971. The next prime is 110055111061079. The reversal of 110055111061049 is 940160111550011.

It is a cyclic number.

It is not a de Polignac number, because 110055111061049 - 28 = 110055111060793 is a prime.

It is a super-2 number, since 2×1100551110610492 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110055111061079) 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, 2168420057 + ... + 2168470809.

It is an arithmetic number, because the mean of its divisors is an integer number (2311921846080).

Almost surely, 2110055111061049 is an apocalyptic number.

110055111061049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

110055111061049 is a deficient number, since it is larger than the sum of its proper divisors (37907887088071).

110055111061049 is a wasteful number, since it uses less digits than its factorization.

110055111061049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86982.

The product of its (nonzero) digits is 5400, while the sum is 35.

The spelling of 110055111061049 in words is "one hundred ten trillion, fifty-five billion, one hundred eleven million, sixty-one thousand, forty-nine".

Divisors: 1 7 11 19 41 77 133 209 287 451 779 1463 3157 5453 8569 36151 50753 59983 253057 355271 397661 558283 686869 964307 1482191 2080873 2783627 3907981 4808083 6750149 7555559 10375337 10607377 14566111 16304101 22889603 28161629 39536587 52888913 74251639 114128707 160227221 197131403 276756109 309777919 434902457 1834771703 2168445433 3044317199 12843401921 20182488733 34860662357 75225639823 141277421131 244024636499 383467285927 526579478761 827482038053 1429287156637 2684271001489 5792374266371 10005010096459 15722158723007 110055111061049