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10023332132331 = 327247034832797
BaseRepresentation
bin1001000111011011110100…
…1001101011010111101011
31022111012222020202101022200
42101312331021223113223
52303210241011213311
633152353305351243
72053106341242600
oct221667511532753
938435866671280
1010023332132331
113214964754411
12115a709798523
13579271c85b9b
142691bbb966a7
15125ae34ac556
hex91dbd26b5eb

10023332132331 has 36 divisors (see below), whose sum is σ = 16845510007872. Its totient is φ = 5726399311584.

The previous prime is 10023332132327. The next prime is 10023332132339. The reversal of 10023332132331 is 13323123332001.

10023332132331 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 3 + 321 + 3 + 2 + 331 = 666.

It is not a de Polignac number, because 10023332132331 - 22 = 10023332132327 is a prime.

It is a super-2 number, since 2×100233321323312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023332132295 and 10023332132304.

It is not an unprimeable number, because it can be changed into a prime (10023332132339) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 342376 + ... + 4490421.

It is an arithmetic number, because the mean of its divisors is an integer number (467930833552).

Almost surely, 210023332132331 is an apocalyptic number.

10023332132331 is a deficient number, since it is larger than the sum of its proper divisors (6822177875541).

10023332132331 is a wasteful number, since it uses less digits than its factorization.

10023332132331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837520 (or 4837510 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10023332132331 its reverse (13323123332001), we get a palindrome (23346455464332).

The spelling of 10023332132331 in words is "ten trillion, twenty-three billion, three hundred thirty-two million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 4703 14109 32921 42327 98763 230447 296289 691341 2074023 4832797 14498391 33829579 43495173 101488737 236807053 304466211 710421159 2131263477 22728644291 68185932873 159100510037 204557798619 477301530111 1113703570259 1431904590333 3341110710777 10023332132331