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54103243131 = 32721634431699
BaseRepresentation
bin110010011000110011…
…011111100101111011
312011122112210112000200
4302120303133211323
51341300412240011
640504340133243
73623504656500
oct623063374573
9164575715020
1054103243131
1120a43963383
12a59b097223
135142b9c142
14289367b4a7
151619c10856
hexc98cdf97b

54103243131 has 72 divisors (see below), whose sum is σ = 91726315200. Its totient is φ = 30639065184.

The previous prime is 54103243111. The next prime is 54103243153. The reversal of 54103243131 is 13134230145.

It is a happy number.

54103243131 is a `hidden beast` number, since 5 + 410 + 3 + 243 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 54103243131 - 25 = 54103243099 is a prime.

It is a super-2 number, since 2×541032431312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54103243095 and 54103243104.

It is not an unprimeable number, because it can be changed into a prime (54103243111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31843320 + ... + 31845018.

It is an arithmetic number, because the mean of its divisors is an integer number (1273976600).

Almost surely, 254103243131 is an apocalyptic number.

54103243131 is a deficient number, since it is larger than the sum of its proper divisors (37623072069).

54103243131 is a wasteful number, since it uses less digits than its factorization.

54103243131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 54103243131 its reverse (13134230145), we get a palindrome (67237473276).

The spelling of 54103243131 in words is "fifty-four billion, one hundred three million, two hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 163 441 443 489 1141 1329 1467 1699 3101 3423 3987 5097 7987 9303 10269 11893 15291 21707 23961 27909 35679 65121 71883 72209 83251 107037 195363 216627 249753 276937 505463 649881 749259 752657 830811 1516389 1938559 2257971 2492433 3538241 4549167 5268599 5815677 6773913 10614723 13569913 15805797 17447031 31844169 36880193 40709739 47417391 110640579 122129217 122683091 331921737 368049273 858781637 1104147819 2576344911 6011471459 7729034733 18034414377 54103243131