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230542512123141 = 321371488731255949
BaseRepresentation
bin110100011010110101011100…
…100010100110110100000101
31010020021122112001121010220100
4310122311130202212310011
5220204202031100420031
62134153433514154313
766363101236664361
oct6432653442466405
91106248461533810
10230542512123141
1167504591954169
1221a34824a22999
139b840b11b393a
1440d046228a2a1
151b9be16ca5de6
hexd1ad5c8a6d05

230542512123141 has 24 divisors (see below), whose sum is σ = 335439070738200. Its totient is φ = 152572000375296.

The previous prime is 230542512123139. The next prime is 230542512123181. The reversal of 230542512123141 is 141321215245032.

230542512123141 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 4 + 2 + 512 + 123 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10832300232516 + 219710211890625 = 3291246^2 + 14822625^2 .

It is not a de Polignac number, because 230542512123141 - 21 = 230542512123139 is a prime.

It is a super-2 number, since 2×2305425121231412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230542512123096 and 230542512123105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230542512123181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182932435 + ... + 184188383.

It is an arithmetic number, because the mean of its divisors is an integer number (13976627947425).

Almost surely, 2230542512123141 is an apocalyptic number.

It is an amenable number.

230542512123141 is a deficient number, since it is larger than the sum of its proper divisors (104896558615059).

230542512123141 is a wasteful number, since it uses less digits than its factorization.

230542512123141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404965 (or 1404962 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 230542512123141 its reverse (141321215245032), we get a palindrome (371863727368173).

The spelling of 230542512123141 in words is "two hundred thirty trillion, five hundred forty-two billion, five hundred twelve million, one hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 137 411 1233 148873 446619 1255949 1339857 3767847 11303541 20395601 61186803 172065013 183560409 516195039 1548585117 186976895477 560930686431 1682792059293 25615834680349 76847504041047 230542512123141