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11234102421231 = 3337532576611249
BaseRepresentation
bin1010001101111010010010…
…1011110010011011101111
31110202222011220122212011000
42203132210223302123233
52433024420204434411
635520513030531343
72236431350011044
oct243364453623357
943688156585130
1011234102421231
1136413a0a42a08
1213152b2206b53
136364a9a0a5b1
142aba3a8771cb
151473589ae956
hexa37a4af26ef

11234102421231 has 128 divisors (see below), whose sum is σ = 17523669600000. Its totient is φ = 7105208647680.

The previous prime is 11234102421229. The next prime is 11234102421259. The reversal of 11234102421231 is 13212420143211.

11234102421231 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 4 + 1 + 0 + 2 + 421 + 231 = 666.

It is not a de Polignac number, because 11234102421231 - 21 = 11234102421229 is a prime.

It is a super-2 number, since 2×112341024212312 (a number of 27 digits) contains 22 as substring.

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 = 11234102421195 and 11234102421204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234102421631) 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, 8994476895 + ... + 8994478143.

It is an arithmetic number, because the mean of its divisors is an integer number (136903668750).

Almost surely, 211234102421231 is an apocalyptic number.

11234102421231 is a deficient number, since it is larger than the sum of its proper divisors (6289567178769).

11234102421231 is a wasteful number, since it uses less digits than its factorization.

11234102421231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11234102421231 its reverse (13212420143211), we get a palindrome (24446522564442).

The spelling of 11234102421231 in words is "eleven trillion, two hundred thirty-four billion, one hundred two million, four hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 27 37 53 111 159 257 333 477 661 771 999 1249 1431 1961 1983 2313 3747 5883 5949 6939 9509 11241 13621 17649 17847 24457 28527 33723 35033 40863 46213 52947 66197 73371 85581 105099 122589 138639 169877 198591 220113 256743 315297 320993 367767 415917 503977 509631 595773 660339 825589 945891 962979 1247751 1296221 1511931 1528893 1787319 2449289 2476767 2888937 3888663 4535793 4586679 6285449 7347867 7430301 8666811 9003481 11665989 11876741 13607379 17012629 18856347 22043601 22290903 27010443 30546793 34997967 35630223 43756217 51037887 56569041 66130803 81031329 91640379 106890669 131268651 153113661 169707123 212176373 243093987 274921137 320672007 333128797 393805953 459340983 629467273 636529119 824763411 999386391 1181417859 1618980029 1888401819 1909587357 2998159173 4856940087 5665205457 5728762071 7850525801 8994477519 11245347769 14570820261 16995616371 23551577403 33736043307 43712460783 70654732209 101208129921 211964196627 303624389763 416077867453 1248233602359 3744700807077 11234102421231