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233200014110021 = 72191511658830241
BaseRepresentation
bin110101000001100000011100…
…000000001010110101000101
31010120200200222221102122022102
4311001200130000022311011
5221031222112103010041
62143550335120441445
7100056100513113200
oct6501403400126505
91116620887378272
10233200014110021
11683396304a9352
12221a3884a79285
13a01788944a6ca
144182d25bbc937
151be6102dbc09b
hexd4181c00ad45

233200014110021 has 24 divisors (see below), whose sum is σ = 287442104333760. Its totient is φ = 188111349216000.

The previous prime is 233200014109939. The next prime is 233200014110027. The reversal of 233200014110021 is 120011410002332.

It is not a de Polignac number, because 233200014110021 - 242 = 228801967598917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233200014109975 and 233200014110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233200014110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829274540 + ... + 829555701.

It is an arithmetic number, because the mean of its divisors is an integer number (11976754347240).

Almost surely, 2233200014110021 is an apocalyptic number.

It is an amenable number.

233200014110021 is a deficient number, since it is larger than the sum of its proper divisors (54242090223739).

233200014110021 is a wasteful number, since it uses less digits than its factorization.

233200014110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658830425 (or 1658830418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 233200014110021 its reverse (120011410002332), we get a palindrome (353211424112353).

The spelling of 233200014110021 in words is "two hundred thirty-three trillion, two hundred billion, fourteen million, one hundred ten thousand, twenty-one".

Divisors: 1 7 19 49 133 151 931 1057 2869 7399 20083 140581 1658830241 11611811687 31517774579 81282681809 220624422053 250483366391 1544370954371 1753383564737 4759183961429 12273684953159 33314287730003 233200014110021