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233030115525 = 3522959972193
BaseRepresentation
bin1101100100000110101…
…1010110000011000101
3211021111021021101221110
43121001223112003011
512304221202144100
6255015204035233
722556463204624
oct3310153260305
9737437241843
10233030115525
118a911474939
12391b5392b19
1318c893b122c
14b3c8b316bb
1560dd0e0250
hex3641ad60c5

233030115525 has 144 divisors (see below), whose sum is σ = 411660705600. Its totient is φ = 116142243840.

The previous prime is 233030115523. The next prime is 233030115533. The reversal of 233030115525 is 525511030332.

It is not a de Polignac number, because 233030115525 - 21 = 233030115523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233030115492 and 233030115501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233030115523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1207409829 + ... + 1207410021.

It is an arithmetic number, because the mean of its divisors is an integer number (2858754900).

Almost surely, 2233030115525 is an apocalyptic number.

233030115525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233030115525 is a deficient number, since it is larger than the sum of its proper divisors (178630590075).

233030115525 is a wasteful number, since it uses less digits than its factorization.

233030115525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 233030115525 its reverse (525511030332), we get a palindrome (758541145857).

The spelling of 233030115525 in words is "two hundred thirty-three billion, thirty million, one hundred fifteen thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 29 59 75 87 97 145 177 193 291 295 435 485 579 725 885 965 1455 1475 1711 2175 2425 2813 2895 4425 4825 5133 5597 5723 7275 8439 8555 9409 11387 14065 14475 16791 17169 18721 25665 27985 28227 28615 34161 42195 42775 47045 56163 56935 70325 83955 85845 93605 128325 139925 141135 143075 165967 170805 210975 235225 272861 280815 284675 330223 419775 429225 468025 497901 542909 555131 705675 818583 829835 854025 990669 1104539 1364305 1404075 1628727 1651115 1665393 1815937 2489505 2714545 2775655 3313617 4092915 4149175 4953345 5447811 5522695 6821525 8143635 8255575 8326965 9079685 12447525 13572725 13878275 16098799 16568085 20464575 24766725 27239055 27613475 32031631 40718175 41634825 45398425 48296397 52662173 80493995 82840425 96094893 107140283 136195275 157986519 160158155 241481985 263310865 321420849 402469975 480474465 535701415 789932595 800790775 1207409925 1316554325 1607104245 2402372325 2678507075 3107068207 3949662975 8035521225 9321204621 15535341035 46606023105 77676705175 233030115525