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23313300301221 = 3723438879911277
BaseRepresentation
bin1010100110100000011001…
…11110111010010110100101
310001112201200222112010010220
411103100030332322112211
511023431114334114341
6121325552102234553
74624221212631630
oct523201476722645
9101481628463126
1023313300301221
11747912a275197
122746335125a59
1310015862b9158
145a8526872c17
152a6674758a66
hex15340cfba5a5

23313300301221 has 128 divisors (see below), whose sum is σ = 38042529693696. Its totient is φ = 12410029336320.

The previous prime is 23313300301211. The next prime is 23313300301283. The reversal of 23313300301221 is 12210300331332.

It is not a de Polignac number, because 23313300301221 - 210 = 23313300300197 is a prime.

It is a super-2 number, since 2×233133003012212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23313300301191 and 23313300301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23313300301211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18256303435 + ... + 18256304711.

It is an arithmetic number, because the mean of its divisors is an integer number (297207263232).

Almost surely, 223313300301221 is an apocalyptic number.

23313300301221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23313300301221 is a deficient number, since it is larger than the sum of its proper divisors (14729229392475).

23313300301221 is a wasteful number, since it uses less digits than its factorization.

23313300301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23313300301221 its reverse (12210300331332), we get a palindrome (35523600632553).

The spelling of 23313300301221 in words is "twenty-three trillion, three hundred thirteen billion, three hundred million, three hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 43 69 129 161 301 483 887 903 989 991 1277 2661 2967 2973 3831 6209 6923 6937 8939 18627 20401 20769 20811 22793 26817 29371 38141 42613 54911 61203 68379 88113 114423 127839 142807 159551 164733 205597 266987 298291 384377 428421 478653 616791 800961 877243 879017 894873 980099 1132699 1153131 1262953 1265507 2631729 2637051 2940297 3398097 3788859 3796521 6140701 6153119 6860693 7928893 8840671 8858549 18422103 18459357 20217391 20582079 23786679 26052077 26522013 26575647 29106661 37797731 48706057 54416801 60652173 78156231 87319983 113393193 141521737 146118171 163250403 182364539 203746627 264584117 340942399 380917607 424565211 547093617 611239881 793752351 869347813 1022827197 1120239311 1122504709 1142752821 1251586423 2608043439 3360717933 3367514127 3754759269 6085434691 7841675177 7857532963 8761104961 18256304073 23525025531 23572598889 25817608307 26283314883 48267702487 77452824921 144803107461 180723258149 337873917409 542169774447 1013621752227 1110157157201 3330471471603 7771100100407 23313300301221