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21160135122141 = 366371656164171
BaseRepresentation
bin1001100111110101110100…
…10101100101110011011101
32202220220000012100222212110
410303322322111211303131
510233141424042402031
6113000455404024233
74312524605610141
oct463727225456335
982826005328773
1021160135122141
116818a656a6384
122458b86532079
13ba6513809202
1453222810d221
1526a654d7ac46
hex133eba565cdd

21160135122141 has 16 divisors (see below), whose sum is σ = 28219908062528. Its totient is φ = 14103559814400.

The previous prime is 21160135122127. The next prime is 21160135122143. The reversal of 21160135122141 is 14122153106112.

It is not a de Polignac number, because 21160135122141 - 234 = 21142955252957 is a prime.

It is a super-4 number, since 4×211601351221414 (a number of 54 digits) contains 4444 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 = 21160135122099 and 21160135122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21160135122143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329713986 + ... + 329778156.

It is an arithmetic number, because the mean of its divisors is an integer number (1763744253908).

Almost surely, 221160135122141 is an apocalyptic number.

It is an amenable number.

21160135122141 is a deficient number, since it is larger than the sum of its proper divisors (7059772940387).

21160135122141 is a wasteful number, since it uses less digits than its factorization.

21160135122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87372.

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 21160135122141 its reverse (14122153106112), we get a palindrome (35282288228253).

The spelling of 21160135122141 in words is "twenty-one trillion, one hundred sixty billion, one hundred thirty-five million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 6637 16561 19911 49683 64171 192513 109915357 329746071 425902927 1062735931 1277708781 3188207793 7053378374047 21160135122141