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21535020024141 = 31321779101487643
BaseRepresentation
bin1001110010110000000110…
…01110000000000101001101
32211020201122120110012021110
410321120003032000011031
510310312210111233031
6113445015052322233
74351565604653121
oct471300316000515
984221576405243
1021535020024141
116952a50428938
1224b976a773379
13c02988b12400
1454642c927581
15275296918c46
hex13960338014d

21535020024141 has 192 divisors, whose sum is σ = 33789318635520. Its totient is φ = 12148998451200.

The previous prime is 21535020024137. The next prime is 21535020024157. The reversal of 21535020024141 is 14142002053512.

It is not a de Polignac number, because 21535020024141 - 22 = 21535020024137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21535020024099 and 21535020024108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21535020024121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33491477166 + ... + 33491477808.

It is an arithmetic number, because the mean of its divisors is an integer number (175986034560).

Almost surely, 221535020024141 is an apocalyptic number.

It is an amenable number.

21535020024141 is a deficient number, since it is larger than the sum of its proper divisors (12254298611379).

21535020024141 is a wasteful number, since it uses less digits than its factorization.

21535020024141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 21535020024141 its reverse (14142002053512), we get a palindrome (35677022077653).

The spelling of 21535020024141 in words is "twenty-one trillion, five hundred thirty-five billion, twenty million, twenty-four thousand, one hundred forty-one".