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231032312210133 = 337232571619127733
BaseRepresentation
bin110100100001111101100110…
…111001101010001011010101
31010022000110210001212120221000
4310201331212321222023111
5220240213133411211013
62135210440134013513
766443351033016240
oct6441754671521325
91108013701776830
10231032312210133
1167683287273a95
1221ab3739aa7299
139bbb33b0ba715
14410a04898c257
151ba9a321dc973
hexd21f66e6a2d5

231032312210133 has 128 divisors (see below), whose sum is σ = 410017556275200. Its totient is φ = 125708496224256.

The previous prime is 231032312210057. The next prime is 231032312210159. The reversal of 231032312210133 is 331012213230132.

231032312210133 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 3 + 2 + 312 + 210 + 133 = 666.

It is not a de Polignac number, because 231032312210133 - 210 = 231032312209109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231032312210097 and 231032312210106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231032312212133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1808648935 + ... + 1808776667.

It is an arithmetic number, because the mean of its divisors is an integer number (3203262158400).

Almost surely, 2231032312210133 is an apocalyptic number.

231032312210133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

231032312210133 is a deficient number, since it is larger than the sum of its proper divisors (178985244065067).

231032312210133 is a wasteful number, since it uses less digits than its factorization.

231032312210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129648 (or 129642 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 231032312210133 its reverse (331012213230132), we get a palindrome (562044525440265).

The spelling of 231032312210133 in words is "two hundred thirty-one trillion, thirty-two billion, three hundred twelve million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 257 483 621 771 1449 1619 1799 2313 4347 4857 5397 5911 6939 11333 14571 16191 17733 33999 37237 41377 43713 48573 53199 101997 111711 124131 127733 159597 260659 305991 335133 372393 383199 416083 781977 894131 1005399 1117179 1149597 1248249 2345931 2682393 2912581 2937859 3448791 3744747 7037793 8047179 8737743 8813577 9569909 11234241 20565013 24141537 26213229 26440731 28709727 32827381 61695039 66989363 78639687 79322193 86129181 98482143 185085117 200968089 206799727 229791667 258387543 295446429 555255351 602904267 620399181 689375001 755029763 886339287 1447598089 1808712801 1861197543 2068125003 2265089289 4342794267 4756393721 5285208341 5583592629 6204375009 6795267867 13028382801 14269181163 15855625023 20385803601 33294756047 39085148403 42807543489 47566875069 53147529839 99884268141 128422630467 142700625207 159442589517 299652804423 372032708873 478327768551 898958413269 1116098126619 1222393186297 1434983305653 3348294379857 3667179558891 8556752304079 10044883139571 11001538676673 25670256912237 33004616030019 77010770736711 231032312210133