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51541200321 = 313171131275417
BaseRepresentation
bin110000000000000110…
…000100110111000001
311221000222212021000020
4300000012010313001
51321024021402241
635402214444053
73503144655102
oct600006046701
9157028767006
1051541200321
111a949733726
129ba5063629
134b25158c90
1426cd2ba3a9
151519d2bb66
hexc00184dc1

51541200321 has 64 divisors (see below), whose sum is σ = 79691931648. Its totient is φ = 29349347328.

The previous prime is 51541200313. The next prime is 51541200323. The reversal of 51541200321 is 12300214515.

It is a happy number.

It is not a de Polignac number, because 51541200321 - 23 = 51541200313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51541200291 and 51541200300.

It is not an unprimeable number, because it can be changed into a prime (51541200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9512005 + ... + 9517421.

It is an arithmetic number, because the mean of its divisors is an integer number (1245186432).

Almost surely, 251541200321 is an apocalyptic number.

51541200321 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51541200321 is a deficient number, since it is larger than the sum of its proper divisors (28150731327).

51541200321 is a wasteful number, since it uses less digits than its factorization.

51541200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 51541200321 its reverse (12300214515), we get a palindrome (63841414836).

The spelling of 51541200321 in words is "fifty-one billion, five hundred forty-one million, two hundred thousand, three hundred twenty-one".

Divisors: 1 3 13 17 39 51 113 127 221 339 381 663 1469 1651 1921 2159 4407 4953 5417 5763 6477 14351 16251 24973 28067 43053 70421 74919 84201 92089 186563 211263 243967 276267 559689 612121 687959 731901 1197157 1836363 2063877 3171571 3591471 7957573 8943467 9514713 10406057 11695303 23872719 26830401 31218171 35085909 77739367 135278741 152038939 233218101 405836223 456116817 1010611771 1321569239 3031835313 3964707717 17180400107 51541200321