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110221103310331 = 13179293383422087
BaseRepresentation
bin11001000011111011011001…
…101101011010010111111011
3112110021000221012102201002211
4121003323121231122113323
5103421330304421412311
61030230513103035551
732134132455611626
oct3103733155322773
9473230835381084
10110221103310331
11321355643a6832
121044170859bbb7
134966a617378c0
141d30a30a68dbd
15cb21856de821
hex643ed9b5a5fb

110221103310331 has 32 divisors (see below), whose sum is σ = 120083158056960. Its totient is φ = 100565359434624.

The previous prime is 110221103310301. The next prime is 110221103310389. The reversal of 110221103310331 is 133013301122011.

It is a cyclic number.

It is not a de Polignac number, because 110221103310331 - 215 = 110221103277563 is a prime.

It is a super-2 number, since 2×1102211033103312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110221103310301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260922570 + ... + 261344656.

It is an arithmetic number, because the mean of its divisors is an integer number (3752598689280).

Almost surely, 2110221103310331 is an apocalyptic number.

110221103310331 is a deficient number, since it is larger than the sum of its proper divisors (9862054746629).

110221103310331 is a wasteful number, since it uses less digits than its factorization.

110221103310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422955.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 110221103310331 its reverse (133013301122011), we get a palindrome (243234404432342).

The spelling of 110221103310331 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred three million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 13 179 293 383 2327 3809 4979 52447 68557 112219 422087 681811 891241 1458847 5487131 20087201 75553573 123671491 161659321 261133613 982196449 1607729383 2101571173 22137196889 28937018459 47366181053 287783559557 376181239967 615760353689 8478546408487 110221103310331