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2300231031021 = 32721123103200159
BaseRepresentation
bin100001011110010000011…
…101000001100011101101
322010220022001111110200200
4201132100131001203231
5300141333120443041
64520413405544113
7325120604106300
oct41362035014355
98126261443620
102300231031021
118075824a5110
12311972875039
13138bac1c3611
147d490570b37
153ec7aac51b6
hex217907418ed

2300231031021 has 144 divisors (see below), whose sum is σ = 4442437509120. Its totient is φ = 1131869471040.

The previous prime is 2300231031017. The next prime is 2300231031029. The reversal of 2300231031021 is 1201301320032.

2300231031021 is a `hidden beast` number, since 2 + 300 + 2 + 31 + 0 + 310 + 21 = 666.

It is not a de Polignac number, because 2300231031021 - 22 = 2300231031017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2300231030985 and 2300231031003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300231031029) 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 143 ways as a sum of consecutive naturals, for example, 11391940 + ... + 11592098.

It is an arithmetic number, because the mean of its divisors is an integer number (30850260480).

Almost surely, 22300231031021 is an apocalyptic number.

2300231031021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2300231031021 is a deficient number, since it is larger than the sum of its proper divisors (2142206478099).

2300231031021 is a wasteful number, since it uses less digits than its factorization.

2300231031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200316 (or 200306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2300231031021 its reverse (1201301320032), we get a palindrome (3501532351053).

The spelling of 2300231031021 in words is "two trillion, three hundred billion, two hundred thirty-one million, thirty-one thousand, twenty-one".

Divisors: 1 3 7 9 11 21 23 33 49 63 69 77 99 103 147 161 207 231 253 309 441 483 539 693 721 759 927 1127 1133 1449 1617 1771 2163 2277 2369 3381 3399 4851 5047 5313 6489 7107 7931 10143 10197 12397 15141 15939 16583 21321 23793 26059 37191 45423 49749 55517 71379 78177 111573 116081 149247 166551 182413 200159 234531 348243 499653 547239 600477 1044729 1276891 1401113 1641717 1801431 2201749 3830673 4203339 4603657 6605247 9807791 11492019 12610017 13810971 15412243 19815741 20616377 29423373 32225599 41432913 46236729 50640227 61849131 88270119 96676797 107885701 138710187 144314639 151920681 185547393 225579193 226780147 290030391 323657103 354481589 432943917 455762043 474176671 676737579 680340441 970971309 1010202473 1063444767 1298831751 1422530013 1587461029 2030212737 2041021323 2481371123 3030607419 3190334301 3319236697 4267590039 4762383087 5215943381 7444113369 9091822257 9957710091 11112227203 14287149261 15647830143 22332340107 23234656879 29873130273 33336681609 36511603667 46943490429 69703970637 100010044827 109534811001 209111911911 255581225669 328604433003 766743677007 2300231031021