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1243334444121 = 3272114710153993
BaseRepresentation
bin10010000101111100100…
…000100000010001011001
311101212021010002221220100
4102011330200200101121
5130332322104202441
62351102512050013
7155553662254200
oct22057440402131
94355233087810
101243334444121
1143a327975380
12180b72233909
139032741c313
144426b8ba237
152251e2cacb6
hex1217c820459

1243334444121 has 144 divisors (see below), whose sum is σ = 2350641316608. Its totient is φ = 625875264000.

The previous prime is 1243334444101. The next prime is 1243334444159. The reversal of 1243334444121 is 1214444333421.

1243334444121 is a `hidden beast` number, since 1 + 243 + 334 + 44 + 41 + 2 + 1 = 666.

It is not a de Polignac number, because 1243334444121 - 25 = 1243334444089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1243334444101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23000701 + ... + 23054693.

It is an arithmetic number, because the mean of its divisors is an integer number (16323898032).

Almost surely, 21243334444121 is an apocalyptic number.

1243334444121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1243334444121 is a deficient number, since it is larger than the sum of its proper divisors (1107306872487).

1243334444121 is a wasteful number, since it uses less digits than its factorization.

1243334444121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54172 (or 54162 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 1243334444121 its reverse (1214444333421), we get a palindrome (2457778777542).

The spelling of 1243334444121 in words is "one trillion, two hundred forty-three billion, three hundred thirty-four million, four hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 47 49 63 77 99 101 141 147 231 303 329 423 441 517 539 693 707 909 987 1111 1551 1617 2121 2303 2961 3333 3619 4653 4747 4851 4949 6363 6909 7777 9999 10857 14241 14847 20727 23331 25333 32571 33229 42723 44541 52217 53993 54439 69993 75999 99687 156651 161979 163317 227997 232603 299061 365519 377951 469953 485937 489951 593923 697809 1096557 1133853 1781769 2093427 2537671 2558633 2645657 3289671 3401559 4157461 5345307 5453293 7613013 7675899 7936971 12472383 16359879 17763697 22839039 23027697 23810913 27914381 29102227 37417149 38173051 49079637 53291091 59986223 83743143 87306681 114519153 124345879 159873273 179958669 195400667 251229429 256304771 261920043 267211357 343557459 373037637 419903561 539876007 586202001 768914313 801634071 1119112911 1259710683 1367804669 1758606003 1794133397 2306742939 2404902213 2819352481 2939324927 3779132049 4103414007 5382400191 8458057443 8817974781 12310242021 12558933779 16147200573 19735467367 25374172329 26453924343 37676801337 59206402101 113030404011 138148271569 177619206303 414444814707 1243334444121