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121220321313 = 37137912744257
BaseRepresentation
bin111000011100101001…
…0110101000000100001
3102120220001102100122010
41300321102311000201
53441224400240223
6131404324103133
711520644505330
oct1607122650041
9376801370563
10121220321313
1147455790633
121b5b0534aa9
13b57ac752a0
145c1d445d17
1532471a7393
hex1c394b5021

121220321313 has 64 divisors (see below), whose sum is σ = 203034460160. Its totient is φ = 62632507392.

The previous prime is 121220321279. The next prime is 121220321353. The reversal of 121220321313 is 313123022121.

It is not a de Polignac number, because 121220321313 - 212 = 121220317217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121220321313.

It is not an unprimeable number, because it can be changed into a prime (121220321353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2716881 + ... + 2761137.

It is an arithmetic number, because the mean of its divisors is an integer number (3172413440).

Almost surely, 2121220321313 is an apocalyptic number.

121220321313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121220321313 is a deficient number, since it is larger than the sum of its proper divisors (81814138847).

121220321313 is a wasteful number, since it uses less digits than its factorization.

121220321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44486.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121220321313 its reverse (313123022121), we get a palindrome (434343343434).

The spelling of 121220321313 in words is "one hundred twenty-one billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 39 79 91 127 237 273 381 553 889 1027 1651 1659 2667 3081 4953 7189 10033 11557 21567 30099 34671 44257 70231 130429 132771 210693 309799 391287 575341 913003 929397 1726023 2739009 3496303 4027387 5620639 10488909 12082161 16861917 24474121 39344473 45451939 73068307 73422363 118033419 136355817 219204921 318163573 444030481 511478149 954490719 1332091443 1534434447 3108213367 5772396253 9324640101 17317188759 40406773771 121220321313