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23305348143 = 327113449619
BaseRepresentation
bin10101101101000110…
…110110010000101111
32020011012010100111100
4111231012312100233
5340212132120033
614412322254143
71453346122260
oct255506662057
966135110440
1023305348143
11997a297000
124624ab7353
13227541033c
1411b1294967
15916028513
hex56d1b642f

23305348143 has 96 divisors (see below), whose sum is σ = 42479424000. Its totient is φ = 12060195840.

The previous prime is 23305348117. The next prime is 23305348169. The reversal of 23305348143 is 34184350332.

23305348143 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 534 + 81 + 43 = 666.

It is an interprime number because it is at equal distance from previous prime (23305348117) and next prime (23305348169).

It is not a de Polignac number, because 23305348143 - 210 = 23305347119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23305348098 and 23305348107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23305344143) 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 95 ways as a sum of consecutive naturals, for example, 37649688 + ... + 37650306.

It is an arithmetic number, because the mean of its divisors is an integer number (442494000).

Almost surely, 223305348143 is an apocalyptic number.

23305348143 is a deficient number, since it is larger than the sum of its proper divisors (19174075857).

23305348143 is a wasteful number, since it uses less digits than its factorization.

23305348143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23305348143 its reverse (34184350332), we get a palindrome (57489698475).

The spelling of 23305348143 in words is "twenty-three billion, three hundred five million, three hundred forty-eight thousand, one hundred forty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 449 619 693 847 1089 1331 1347 1857 2541 3143 3993 4041 4333 4939 5571 6809 7623 9317 9429 11979 12999 14817 20427 27951 28287 34573 38997 44451 47663 54329 61281 74899 83853 103719 142989 162987 224697 277931 311157 380303 428967 488961 524293 597619 674091 823889 833793 1140909 1572879 1792857 1945517 2471667 2501379 3057241 3422727 4183333 4718637 5378571 5767223 5836551 7415001 9171723 12549999 17301669 17509653 21400687 27515169 33629651 37649997 51905007 64202061 100888953 192606183 235407557 302666859 369926161 706222671 1109778483 2118668013 2589483127 3329335449 7768449381 23305348143