Search a number
-
+
102020230320113 = 72236113187712917
BaseRepresentation
bin10111001100100101101111…
…100101101000111111110001
3111101020001001021002010022002
4113030211233211220333301
5101332444412430220423
61000551240301423345
730326501261422400
oct2714455745507761
9441201037063262
10102020230320113
112a56359a398986
12b53825486ab55
1344c060a9c6b21
141b29b3c3bd637
15bbdba8861228
hex5cc96f968ff1

102020230320113 has 96 divisors (see below), whose sum is σ = 126981810286848. Its totient is φ = 81545258995200.

The previous prime is 102020230320109. The next prime is 102020230320121. The reversal of 102020230320113 is 311023032020201.

It is not a de Polignac number, because 102020230320113 - 22 = 102020230320109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102020230320143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7898130131 + ... + 7898143047.

It is an arithmetic number, because the mean of its divisors is an integer number (1322727190488).

Almost surely, 2102020230320113 is an apocalyptic number.

It is an amenable number.

102020230320113 is a deficient number, since it is larger than the sum of its proper divisors (24961579966735).

102020230320113 is a wasteful number, since it uses less digits than its factorization.

102020230320113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14023 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102020230320113 its reverse (311023032020201), we get a palindrome (413043262340314).

The spelling of 102020230320113 in words is "one hundred two trillion, twenty billion, two hundred thirty million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 7 23 49 61 131 161 427 877 917 1127 1403 2989 3013 6139 6419 7991 9821 12917 20171 21091 42973 53497 55937 68747 90419 114887 141197 147637 183793 297091 374479 391559 632933 787937 804209 988379 1230431 1286551 1692127 2079637 2621353 2642401 5515559 5629463 7008107 8613017 9005857 11328209 11844889 14557459 18122551 18496807 38608913 38918921 49056749 60291119 79297463 82914223 103219747 126857857 129477649 161186461 260548807 272432447 343397243 555082241 691020749 722538229 888004999 1128305227 1483995379 1823841649 1907027129 2374054181 4837145243 5057767603 7898136589 10387967653 12766891543 15893477227 16618379267 33860016701 34131893717 72715773571 90523718119 111254340589 116328654869 238923256019 633666026833 778780384123 1672462792133 2082045516737 4435662187831 14574318617159 102020230320113