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122320103303013 = 37211210168088499
BaseRepresentation
bin11011110011111111011110…
…010011100110011101100101
3121001002200120022110111222220
4123303333132103212131211
5112013043032421144023
61112053025114342553
734523223121651500
oct3363773623463545
9531080508414886
10122320103303013
1135a7a734488400
121187655712aa59
1353339756c65c5
14222c478958137
15e21c5eb663e3
hex6f3fde4e6765

122320103303013 has 72 divisors (see below), whose sum is σ = 210600998748000. Its totient is φ = 62913772152000.

The previous prime is 122320103302921. The next prime is 122320103303033. The reversal of 122320103303013 is 310303301023221.

It is not a de Polignac number, because 122320103303013 - 210 = 122320103301989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122320103303033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32247763 + ... + 35840736.

It is an arithmetic number, because the mean of its divisors is an integer number (2925013871500).

Almost surely, 2122320103303013 is an apocalyptic number.

It is an amenable number.

122320103303013 is a deficient number, since it is larger than the sum of its proper divisors (88280895444987).

122320103303013 is a wasteful number, since it uses less digits than its factorization.

122320103303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68088639 (or 68088621 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122320103303013 its reverse (310303301023221), we get a palindrome (432623404326234).

The spelling of 122320103303013 in words is "one hundred twenty-two trillion, three hundred twenty billion, one hundred three million, three hundred three thousand, thirteen".

Divisors: 1 3 7 11 21 33 49 77 101 121 147 231 303 363 539 707 847 1111 1617 2121 2541 3333 4949 5929 7777 12221 14847 17787 23331 36663 54439 85547 163317 256641 598829 1796487 68088499 204265497 476619493 748973489 1429858479 2246920467 3336336451 5242814423 6876938399 8238708379 10009009353 15728443269 20630815197 24716125137 36699700961 48138568793 57670958653 75646322389 110099102883 144415706379 173012875959 226938967167 336969981551 403696710571 529524256723 832109546279 1010909944653 1211090131713 1588572770169 2496328638837 3706669797061 5824766823953 11120009391183 17474300471859 40773367767671 122320103303013