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110111001102221 = 731199212813413
BaseRepresentation
bin11001000010010100110111…
…000110110100011110001101
3112102212111201222201000120012
4121002110313012310132031
5103413024312240232341
61030104143502403005
732123154153361430
oct3102246706643615
9472774658630505
10110111001102221
11320a28a4597209
12104242bb590465
134959566003132
141d2958807b817
15cae38e6580eb
hex6425371b478d

110111001102221 has 24 divisors (see below), whose sum is σ = 130556592797184. Its totient is φ = 90877330732320.

The previous prime is 110111001102211. The next prime is 110111001102241. The reversal of 110111001102221 is 122201100111011.

It is a de Polignac number, because none of the positive numbers 2k-110111001102221 is a prime.

It is a super-2 number, since 2×1101110011022212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110111001102196 and 110111001102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111001102211) 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 23 ways as a sum of consecutive naturals, for example, 2186711 + ... + 15000123.

It is an arithmetic number, because the mean of its divisors is an integer number (5439858033216).

Almost surely, 2110111001102221 is an apocalyptic number.

It is an amenable number.

110111001102221 is a deficient number, since it is larger than the sum of its proper divisors (20445591694963).

110111001102221 is an equidigital number, since it uses as much as digits as its factorization.

110111001102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813849 (or 12813650 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110111001102221 its reverse (122201100111011), we get a palindrome (232312101213232).

The spelling of 110111001102221 in words is "one hundred ten trillion, one hundred eleven billion, one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 7 31 199 217 1393 6169 39601 43183 277207 1227631 8593417 12813413 89693891 397215803 2549869187 2780510621 17849084309 79045944797 507423968213 553321613579 3551967777491 15730143014603 110111001102221