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230311305543053 = 723295310310784449
BaseRepresentation
bin110100010111011110000111…
…100011011111110110001101
31010012110112201212121221022102
4310113132013203133312031
5220141410023204334203
62133455315250524445
766340304565326330
oct6427360743376615
91105415655557272
10230311305543053
1167425526859509
12219b7a5a296725
139b68355843177
1440c31ab7da617
151b95dd3d1c888
hexd177878dfd8d

230311305543053 has 128 divisors (see below), whose sum is σ = 295034628096000. Its totient is φ = 175481246932992.

The previous prime is 230311305543013. The next prime is 230311305543071. The reversal of 230311305543053 is 350345503113032.

It is a de Polignac number, because none of the positive numbers 2k-230311305543053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230311305542998 and 230311305543016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230311305543013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2727181373 + ... + 2727265821.

It is an arithmetic number, because the mean of its divisors is an integer number (2304958032000).

Almost surely, 2230311305543053 is an apocalyptic number.

230311305543053 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

230311305543053 is a deficient number, since it is larger than the sum of its proper divisors (64723322552947).

230311305543053 is a wasteful number, since it uses less digits than its factorization.

230311305543053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84771.

The product of its (nonzero) digits is 243000, while the sum is 38.

Adding to 230311305543053 its reverse (350345503113032), we get a palindrome (580656808656085).

The spelling of 230311305543053 in words is "two hundred thirty trillion, three hundred eleven billion, three hundred five million, five hundred forty-three thousand, fifty-three".

Divisors: 1 7 23 29 53 103 107 161 203 371 667 721 749 1219 1537 2369 2461 2987 3103 4669 5459 5671 8533 10759 11021 16583 17227 20909 21721 35351 38213 39697 68701 71369 77147 84449 125557 130433 158311 164459 247457 253483 319609 480907 499583 584113 591143 878899 913031 1108177 1151213 1774381 1942327 2237263 2449021 3641153 3782557 4088791 4475797 7351007 8698247 9036043 13434599 13596289 16939277 17143147 25488071 26477899 31330579 51457049 56327483 60887729 63252301 94042193 102943331 118574939 129798113 200059681 207828989 252249163 262045247 389603371 394292381 461007091 478910279 720603317 908586791 930712429 1400417767 1454802923 1765744141 1834316729 2727223597 2985356599 3227049637 3352371953 5801730749 6027040681 6514987003 10603163093 11014936417 13369205639 13888398091 20897496193 21406385867 26990660441 40612115243 42189284767 49327758737 74222141651 77104554919 93584439473 97218786637 149844701069 188934623087 307491729697 319433156093 345294311159 620785190143 1134538450951 1430505003373 2152442107879 2236032092651 4345496331001 7941769156657 10013535023611 32901615077579 230311305543053