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110000022210221 = 111341180591038913
BaseRepresentation
bin11001000000101101100000…
…001111111100011010101101
3112102110220021200100011210212
4121000231200033330122231
5103404220021141211341
61025541151303512205
732112145044352433
oct3100554017743255
9472426250304725
10110000022210221
113205a824930050
12104068a8a58665
13494bc5aa798c0
141d2405ac82d53
15cab54664d5eb
hex640b603fc6ad

110000022210221 has 32 divisors (see below), whose sum is σ = 132390223943040. Its totient is φ = 90051229900800.

The previous prime is 110000022210217. The next prime is 110000022210233. The reversal of 110000022210221 is 122012220000011.

It is a cyclic number.

It is not a de Polignac number, because 110000022210221 - 22 = 110000022210217 is a prime.

It is a super-2 number, since 2×1100000222102212 (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 = 110000022210196 and 110000022210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000022260221) 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 31 ways as a sum of consecutive naturals, for example, 105360461 + ... + 106399373.

It is an arithmetic number, because the mean of its divisors is an integer number (4137194498220).

Almost surely, 2110000022210221 is an apocalyptic number.

110000022210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000022210221 is a deficient number, since it is larger than the sum of its proper divisors (22390201732819).

110000022210221 is a wasteful number, since it uses less digits than its factorization.

110000022210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057037.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110000022210221 its reverse (122012220000011), we get a palindrome (232012242210232).

The spelling of 110000022210221 in words is "one hundred ten trillion, twenty-two million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 11 13 41 143 451 533 5863 18059 198649 234767 740419 1038913 2582437 8144609 9625447 11428043 13505869 42595433 105879917 148564559 468549763 553740629 6091146919 18761729867 206379028537 243902488271 769230924547 2682927370981 8461540170017 10000002019111 110000022210221