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23340130000033 = 71123434713747599
BaseRepresentation
bin1010100111010010011000…
…01010000101110010100001
310001122021221210100000212111
411103221030022011302201
511024401041240000113
6121350150243555321
74626161115413110
oct523511412056241
9101567853300774
1023340130000033
1174895479aaaa0
12274b58238bb41
131003c70910592
145a994dc23c77
152a71e4d9e13d
hex153a4c285ca1

23340130000033 has 128 divisors (see below), whose sum is σ = 31964096102400. Its totient is φ = 16508539998720.

The previous prime is 23340130000009. The next prime is 23340130000051. The reversal of 23340130000033 is 33000003104332.

It is not a de Polignac number, because 23340130000033 - 229 = 23339593129121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23340129999959 and 23340130000013.

It is not an unprimeable number, because it can be changed into a prime (23340130000933) 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, 490325368 + ... + 490372966.

It is an arithmetic number, because the mean of its divisors is an integer number (249719500800).

Almost surely, 223340130000033 is an apocalyptic number.

23340130000033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23340130000033 is a deficient number, since it is larger than the sum of its proper divisors (8623966102367).

23340130000033 is a wasteful number, since it uses less digits than its factorization.

23340130000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47867.

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 23340130000033 its reverse (33000003104332), we get a palindrome (56340133104365).

The spelling of 23340130000033 in words is "twenty-three trillion, three hundred forty billion, one hundred thirty million, thirty-three", and thus it is an aban number.

Divisors: 1 7 11 23 43 47 77 137 161 253 301 329 473 517 959 989 1081 1507 1771 2021 3151 3311 3619 5891 6439 6923 7567 10549 10879 11891 14147 22057 22231 34661 41237 45073 46483 47599 64801 70829 76153 83237 135493 148097 155617 242627 276877 325381 333193 453607 495803 511313 523589 948451 1036679 1094777 1490423 1629067 1938139 2046757 2237153 3045647 3579191 3665123 6368171 6521063 7663439 10432961 11403469 12042547 14327299 15660071 21319529 22514327 24608683 44577197 45647441 47075411 51454519 70049881 71731693 84297829 96197579 149984449 157600289 172260781 280405709 306489961 329527877 360181633 490349167 502121851 517829521 565999709 673383053 1049891143 1058173369 1649828939 1962839963 2145429727 2212544317 3084462799 3371389571 3624806647 3961997963 6449331307 7049269103 7407213583 11548802573 13179068323 15487810219 21591239593 23599726997 24337987487 45145319149 49344883721 70942644377 77541960133 92253478261 144969751553 170365912409 303118571429 496598510639 542793720931 1014788260871 2121830000003 3334304285719 23340130000033