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14022330201 = 33111719313467
BaseRepresentation
bin11010000111100101…
…11100011101011001
31100012020111011212000
431003302330131121
5212204204031301
610235231111213
71004325561105
oct150362743531
940166434760
1014022330201
115a46270250
122874072509
131426129b09
1497044a905
15571094786
hex343cbc759

14022330201 has 128 divisors (see below), whose sum is σ = 25393305600. Its totient is φ = 7537121280.

The previous prime is 14022330193. The next prime is 14022330209. The reversal of 14022330201 is 10203322041.

14022330201 is a `hidden beast` number, since 140 + 223 + 302 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (14022330193) and next prime (14022330209).

It is not a de Polignac number, because 14022330201 - 23 = 14022330193 is a prime.

It is a super-3 number, since 3×140223302013 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14022330209) 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 127 ways as a sum of consecutive naturals, for example, 30026170 + ... + 30026636.

It is an arithmetic number, because the mean of its divisors is an integer number (198385200).

Almost surely, 214022330201 is an apocalyptic number.

14022330201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14022330201 is a deficient number, since it is larger than the sum of its proper divisors (11370975399).

14022330201 is a wasteful number, since it uses less digits than its factorization.

14022330201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14022330201 its reverse (10203322041), we get a palindrome (24225652242).

The spelling of 14022330201 in words is "fourteen billion, twenty-two million, three hundred thirty thousand, two hundred one".

Divisors: 1 3 9 11 17 19 27 33 51 57 99 153 171 187 209 297 313 323 459 467 513 561 627 939 969 1401 1683 1881 2817 2907 3443 3553 4203 5049 5137 5321 5643 5947 7939 8451 8721 8873 10329 10659 12609 15411 15963 17841 23817 26619 30987 31977 46233 47889 53523 58531 65417 71451 79857 87329 92961 95931 97603 101099 138699 143667 146171 150841 160569 175593 196251 214353 239571 261987 292809 303297 438513 452523 526779 588753 785961 878427 909891 1112089 1315539 1357569 1580337 1607881 1659251 1766259 2357883 2484907 2635281 2729673 2777249 3336267 3946617 4072707 4823643 4977753 7454721 8331747 10008801 14470929 14933259 22364163 24995241 27333977 30026403 30549739 43412787 44799777 47213233 67092489 74985723 82001931 91649217 141639699 246005793 274947651 424919097 519345563 738017379 824842953 1274757291 1558036689 4674110067 14022330201