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230233141013121 = 32313509393140847
BaseRepresentation
bin110100010110010101010100…
…100101011110101010000001
31010012012001222110021101220100
4310112111110211132222001
5220134114433044404441
62133355351141433013
766331536601642401
oct6426252445365201
91105161873241810
10230233141013121
11673a5365a33244
12219a488510b769
139b60b79a6a11c
1440bd4b472c801
151b93d5ba61cb6
hexd1655495ea81

230233141013121 has 48 divisors (see below), whose sum is σ = 334370136971520. Its totient is φ = 152655213185280.

The previous prime is 230233141013111. The next prime is 230233141013137. The reversal of 230233141013121 is 121310141332032.

230233141013121 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 331 + 4 + 10 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 230233141013121 - 27 = 230233141012993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230233141013111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5636455720 + ... + 5636496566.

It is an arithmetic number, because the mean of its divisors is an integer number (6966044520240).

Almost surely, 2230233141013121 is an apocalyptic number.

It is an amenable number.

230233141013121 is a deficient number, since it is larger than the sum of its proper divisors (104136995958399).

230233141013121 is a wasteful number, since it uses less digits than its factorization.

230233141013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45606 (or 45603 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 230233141013121 its reverse (121310141332032), we get a palindrome (351543282345153).

The spelling of 230233141013121 in words is "two hundred thirty trillion, two hundred thirty-three billion, one hundred forty-one million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 313 509 939 1527 2817 3931 4581 11793 35379 40847 122541 159317 367623 477951 1230403 1433853 2000879 3691209 6002637 11073627 12785111 18007911 20791123 38355333 62373369 115065999 160569557 187120107 481708671 626275127 1445126013 1878825381 5636476143 6507621499 19522864497 50258271341 58568593491 81729904513 150774814023 245189713539 452324442069 735569140617 25581460112569 76744380337707 230233141013121