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110232220221 = 3323101217401
BaseRepresentation
bin110011010101001011…
…0100011001000111101
3101112112021100222122000
41212222112203020331
53301223422021341
6122350123012513
710651441261224
oct1465226431075
9345467328560
10110232220221
114282723a652
121944466a139
13a519655916
145499d91cbb
152d026b88b6
hex19aa5a323d

110232220221 has 48 divisors (see below), whose sum is σ = 172121093760. Its totient is φ = 69593040000.

The previous prime is 110232220211. The next prime is 110232220223. The reversal of 110232220221 is 122022232011.

110232220221 is a `hidden beast` number, since 1 + 102 + 322 + 20 + 221 = 666.

It is not a de Polignac number, because 110232220221 - 26 = 110232220157 is a prime.

It is a super-2 number, since 2×1102322202212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110232220194 and 110232220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110232220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6326121 + ... + 6343521.

It is an arithmetic number, because the mean of its divisors is an integer number (3585856120).

Almost surely, 2110232220221 is an apocalyptic number.

It is an amenable number.

110232220221 is a deficient number, since it is larger than the sum of its proper divisors (61888873539).

110232220221 is a wasteful number, since it uses less digits than its factorization.

110232220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17635 (or 17528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110232220221 its reverse (122022232011), we get a palindrome (232254452232).

The spelling of 110232220221 in words is "one hundred ten billion, two hundred thirty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 69 101 207 303 621 909 2323 2727 6969 10201 17401 20907 30603 52203 62721 91809 156609 234623 275427 400223 469827 703869 1200669 1757501 2111607 3602007 5272503 6334821 10806021 15817509 40422523 47452527 121267569 177507601 363802707 532522803 1091408121 1597568409 4082674823 4792705227 12248024469 36744073407 110232220221