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21301414302141 = 329679724451417
BaseRepresentation
bin1001101011111100111110…
…01110111001000110111101
32210102101200012001221200200
410311332133032321012331
510243000244030132031
6113145422403114113
74325655622044201
oct465763716710675
983371605057620
1021301414302141
116872974057376
122480434672939
13bb693a3c673c
14538dcb59cb01
1526e1730288e6
hex135f9f3b91bd

21301414302141 has 12 divisors (see below), whose sum is σ = 30769028674332. Its totient is φ = 14200795578816.

The previous prime is 21301414302139. The next prime is 21301414302173. The reversal of 21301414302141 is 14120341410312.

It is a happy number.

21301414302141 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 414 + 30 + 214 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19459479464100 + 1841934838041 = 4411290^2 + 1357179^2 .

It is not a de Polignac number, because 21301414302141 - 21 = 21301414302139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301414302101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11354536 + ... + 13096881.

It is an arithmetic number, because the mean of its divisors is an integer number (2564085722861).

Almost surely, 221301414302141 is an apocalyptic number.

It is an amenable number.

21301414302141 is a deficient number, since it is larger than the sum of its proper divisors (9467614372191).

21301414302141 is a wasteful number, since it uses less digits than its factorization.

21301414302141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24548220 (or 24548217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21301414302141 its reverse (14120341410312), we get a palindrome (35421755712453).

The spelling of 21301414302141 in words is "twenty-one trillion, three hundred one billion, four hundred fourteen million, three hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 96797 290391 871173 24451417 73354251 220062753 2366823811349 7100471434047 21301414302141