Search a number
-
+
21405225333141 = 3213533451898941
BaseRepresentation
bin1001101110111110010101…
…10110100011000110010101
32210210022121221211201122200
410313133022312203012111
510301200400141130031
6113305231425515113
74336322303204226
oct467371266430625
983708557751580
1021405225333141
1169029a5738471
1224985867a2a99
13bc36726334c0
1454003882324d
15271bebb0c8e6
hex1377cada3195

21405225333141 has 24 divisors (see below), whose sum is σ = 33925262801976. Its totient is φ = 12923909631360.

The previous prime is 21405225333113. The next prime is 21405225333157. The reversal of 21405225333141 is 14133352250412.

21405225333141 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 52 + 2 + 533 + 31 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4579814002500 + 16825411330641 = 2140050^2 + 4101879^2 .

It is not a de Polignac number, because 21405225333141 - 27 = 21405225333013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21405225333096 and 21405225333105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21405225333181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725943270 + ... + 1725955671.

It is an arithmetic number, because the mean of its divisors is an integer number (1413552616749).

Almost surely, 221405225333141 is an apocalyptic number.

It is an amenable number.

21405225333141 is a deficient number, since it is larger than the sum of its proper divisors (12520037468835).

21405225333141 is a wasteful number, since it uses less digits than its factorization.

21405225333141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451899013 (or 3451899010 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21405225333141 its reverse (14133352250412), we get a palindrome (35538577583553).

The spelling of 21405225333141 in words is "twenty-one trillion, four hundred five billion, two hundred twenty-five million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 3451898941 10355696823 31067090469 44874686233 134624058699 182950643873 403872176097 548851931619 1646555794857 2378358370349 7135075111047 21405225333141