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230022332012331 = 32157162790043887
BaseRepresentation
bin110100010011010000111111…
…011000111101011100101011
31010011102220211210221120211100
4310103100333120331130223
5220122141213443343311
62133114444525132443
766310364551001505
oct6423207730753453
91104386753846740
10230022332012331
1167323a17829841
122196ba516ba123
139b47022278ac1
1440b31d6c98d75
151b8d61e6caa56
hexd1343f63d72b

230022332012331 has 12 divisors (see below), whose sum is σ = 334370750145952. Its totient is φ = 152371481077296.

The previous prime is 230022332012327. The next prime is 230022332012359. The reversal of 230022332012331 is 133210233220032.

230022332012331 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 2 + 3 + 320 + 1 + 2 + 331 = 666.

It is not a de Polignac number, because 230022332012331 - 22 = 230022332012327 is a prime.

It is a super-3 number, since 3×2300223320123313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230022332012295 and 230022332012304.

It is not an unprimeable number, because it can be changed into a prime (230022332012531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81395020531 + ... + 81395023356.

Almost surely, 2230022332012331 is an apocalyptic number.

230022332012331 is a deficient number, since it is larger than the sum of its proper divisors (104348418133621).

230022332012331 is a wasteful number, since it uses less digits than its factorization.

230022332012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162790044050 (or 162790044047 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230022332012331 its reverse (133210233220032), we get a palindrome (363232565232363).

The spelling of 230022332012331 in words is "two hundred thirty trillion, twenty-two billion, three hundred thirty-two million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 157 471 1413 162790043887 488370131661 1465110394983 25558036890259 76674110670777 230022332012331