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121300113323121 = 317311015237731879
BaseRepresentation
bin11011100101001001100010…
…001010100111010001110001
3120220111011210110100220021020
4123211021202022213101301
5111344340113002314441
61105552300333250053
734356433613120625
oct3345114212472161
9526434713326236
10121300113323121
11357170a8757777
1211730936633929
13528b722b50bc5
1421d4d576b7185
15e054634b2e66
hex6e52622a7471

121300113323121 has 128 divisors (see below), whose sum is σ = 179189576663040. Its totient is φ = 72653179392000.

The previous prime is 121300113323117. The next prime is 121300113323153. The reversal of 121300113323121 is 121323311003121.

It is not a de Polignac number, because 121300113323121 - 22 = 121300113323117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121300113323091 and 121300113323100.

It is not an unprimeable number, because it can be changed into a prime (121300113323171) 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, 64555674060 + ... + 64555675938.

It is an arithmetic number, because the mean of its divisors is an integer number (1399918567680).

Almost surely, 2121300113323121 is an apocalyptic number.

It is an amenable number.

121300113323121 is a deficient number, since it is larger than the sum of its proper divisors (57889463339919).

121300113323121 is a wasteful number, since it uses less digits than its factorization.

121300113323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 121300113323121 its reverse (121323311003121), we get a palindrome (242623424326242).

The spelling of 121300113323121 in words is "one hundred twenty-one trillion, three hundred billion, one hundred thirteen million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 17 31 51 93 101 303 523 527 773 1569 1581 1717 1879 2319 3131 5151 5637 8891 9393 13141 16213 23963 26673 31943 39423 48639 52823 53227 58249 71889 78073 95829 158469 159681 174747 189779 234219 275621 404279 407371 569337 826863 897991 982717 990233 1212837 1222113 1327241 1452467 1637513 2420263 2693973 2948151 2970699 3226243 3981723 4357401 4912539 5883149 6872743 7260789 9678729 12532649 16706189 17649447 20618229 24691939 27837721 30464227 37597947 40832179 41144471 45026477 50118567 74075817 83513163 91392681 99254417 100013533 122496537 123433413 135079431 146699167 213055033 297763251 300040599 440097501 517891859 639165099 694147043 759640241 765450109 1265797549 1553675577 1687325089 2082441129 2278920723 2296350327 2493885839 3076886927 3797392647 4547674177 5061975267 7481657517 9230660781 12913884097 13643022531 21518558333 23548847471 38741652291 52307077759 64555674999 70646542413 76723664341 77310461009 156921233277 230170993023 231931383027 400330407007 1200991221021 1304302293797 2378433594571 3912906881391 7135300783713 40433371107707 121300113323121