Search a number
-
+
121103123301 = 33232967167601
BaseRepresentation
bin111000011001001001…
…1110000001101100101
3102120120212220002012000
41300302103300031211
53441004344421201
6131344540115513
711515022364216
oct1606223601545
9376525802160
10121103123301
11473a5612a76
121b579235b99
13b55c8bc854
145c0ba5940d
15323bc56d86
hex1c324f0365

121103123301 has 128 divisors (see below), whose sum is σ = 198064742400. Its totient is φ = 72888076800.

The previous prime is 121103123293. The next prime is 121103123311. The reversal of 121103123301 is 103321301121.

121103123301 is a `hidden beast` number, since 1 + 21 + 1 + 0 + 312 + 330 + 1 = 666.

It is not a de Polignac number, because 121103123301 - 23 = 121103123293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121103123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201502401 + ... + 201503001.

It is an arithmetic number, because the mean of its divisors is an integer number (1547380800).

Almost surely, 2121103123301 is an apocalyptic number.

It is an amenable number.

121103123301 is a deficient number, since it is larger than the sum of its proper divisors (76961619099).

121103123301 is a wasteful number, since it uses less digits than its factorization.

121103123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121103123301 its reverse (103321301121), we get a palindrome (224424424422).

The spelling of 121103123301 in words is "one hundred twenty-one billion, one hundred three million, one hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 23 27 29 67 69 87 167 201 207 261 501 601 603 621 667 783 1503 1541 1803 1809 1943 2001 3841 4509 4623 4843 5409 5829 6003 11189 11523 13823 13869 14529 16227 17429 17487 18009 33567 34569 40267 41469 41607 43587 44689 52287 52461 100367 100701 103707 111389 120801 124407 130761 134067 156861 257347 301101 302103 324481 334167 362403 373221 400867 402201 470583 772041 903303 926141 973443 1002501 1087209 1167743 1202601 1206603 2308441 2316123 2709909 2778423 2910643 2920329 3007503 3503229 3607803 6724589 6925323 6948369 7463063 8335269 8731929 8760987 10509687 10823409 20173767 20775969 22389189 25005807 26195787 26858089 31529061 60521301 62327907 66944789 67167567 78587361 80574267 154665547 181563903 195013081 200834367 201502701 241722801 463996641 585039243 602503101 725168403 1391989923 1755117729 1807509303 4175969769 4485300863 5265353187 13455902589 40367707767 121103123301