Search a number
-
+
11121141621460 = 22513674691136093
BaseRepresentation
bin1010000111010101011110…
…1100100010001011010100
31110101011121110222200001011
42201311113230202023110
52424202044223341320
635352552032542004
72225322154032223
oct241652754421324
943334543880034
1011121141621460
1135a84a4577142
1212b74279b1904
13628946ca2980
142a63a2372cba
151444469b805a
hexa1d57b222d4

11121141621460 has 96 divisors (see below), whose sum is σ = 25531905071232. Its totient is φ = 4044088097280.

The previous prime is 11121141621449. The next prime is 11121141621493. The reversal of 11121141621460 is 6412614112111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81649174 + ... + 81785266.

It is an arithmetic number, because the mean of its divisors is an integer number (265957344492).

Almost surely, 211121141621460 is an apocalyptic number.

11121141621460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121141621460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765952535616).

11121141621460 is an abundant number, since it is smaller than the sum of its proper divisors (14410763449772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121141621460 is a wasteful number, since it uses less digits than its factorization.

11121141621460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140873 (or 140871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

Adding to 11121141621460 its reverse (6412614112111), we get a palindrome (17533755733571).

The spelling of 11121141621460 in words is "eleven trillion, one hundred twenty-one billion, one hundred forty-one million, six hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 4691 8710 9382 17420 18764 23455 46910 60983 93820 121966 136093 243932 272186 304915 314297 544372 609830 628594 680465 1219660 1257188 1360930 1571485 1769209 2721860 3142970 3538418 4085861 6285940 7076836 8171722 8846045 9118231 16343444 17692090 18236462 20429305 35384180 36472924 40858610 45591155 81717220 91182310 118537003 182364620 237074006 474148012 592685015 638412263 1185370030 1276824526 2370740060 2553649052 3192061315 6384122630 8299359419 12768245260 16598718838 33197437676 41496797095 42773621621 82993594190 85547243242 165987188380 171094486484 213868108105 427736216210 556057081073 855472432420 1112114162146 2224228324292 2780285405365 5560570810730 11121141621460