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30201132300231 = 33159109461109537
BaseRepresentation
bin1101101110111101111111…
…10000110011011111000111
310221221012101211121020220010
412313132333300303133013
512424303404332101411
6144122113022241303
76234650132625114
oct667367760633707
9127835354536803
1030201132300231
119694256929172
123479222126233
1313b0c5420b059
14765a579b790b
153759028647a6
hex1b77bfc337c7

30201132300231 has 64 divisors (see below), whose sum is σ = 42752418508800. Its totient is φ = 18937284710400.

The previous prime is 30201132300223. The next prime is 30201132300247. The reversal of 30201132300231 is 13200323110203.

It is not a de Polignac number, because 30201132300231 - 23 = 30201132300223 is a prime.

It is a super-2 number, since 2×302011323002312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30201132300198 and 30201132300207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201132300331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275661495 + ... + 275771031.

It is an arithmetic number, because the mean of its divisors is an integer number (668006539200).

Almost surely, 230201132300231 is an apocalyptic number.

30201132300231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30201132300231 is a deficient number, since it is larger than the sum of its proper divisors (12551286208569).

30201132300231 is a wasteful number, since it uses less digits than its factorization.

30201132300231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110200.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30201132300231 its reverse (13200323110203), we get a palindrome (43401455410434).

The spelling of 30201132300231 in words is "thirty trillion, two hundred one billion, one hundred thirty-two million, three hundred thousand, two hundred thirty-one".

Divisors: 1 3 31 59 93 109 177 327 461 1383 1829 3379 5487 6431 10137 14291 19293 27199 42873 50249 81597 109537 150747 199361 328611 598083 843169 1557719 2529507 2964691 3395647 4673157 6462683 8894073 10186941 11939533 19388049 35818599 50496557 91905421 151489671 200343173 275716263 370125523 601029519 704432447 1110376569 1565393267 2113297341 2979296863 4696179801 5504124713 8937890589 16512374139 21837405857 65512217571 92358202753 170627866103 277074608259 324743358067 511883598309 974230074201 10067044100077 30201132300231