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1005045422225 = 52133092447453
BaseRepresentation
bin11101010000000010110…
…00000001100010010001
310120002012100021102121212
432220001120001202101
5112431313112002400
62045413403225505
7132416651063555
oct16500130014221
93502170242555
101005045422225
11358267a37329
1214294b818295
1373a1066bc90
143690456d865
151b224691335
hexea01601891

1005045422225 has 12 divisors (see below), whose sum is σ = 1342122195036. Its totient is φ = 742187388480.

The previous prime is 1005045422141. The next prime is 1005045422237. The reversal of 1005045422225 is 5222245405001.

It can be written as a sum of positive squares in 6 ways, for example, as 87291649 + 1004958130576 = 9343^2 + 1002476^2 .

It is not a de Polignac number, because 1005045422225 - 210 = 1005045421201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005045422191 and 1005045422200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546223402 + ... + 1546224051.

It is an arithmetic number, because the mean of its divisors is an integer number (111843516253).

Almost surely, 21005045422225 is an apocalyptic number.

It is an amenable number.

1005045422225 is a deficient number, since it is larger than the sum of its proper divisors (337076772811).

1005045422225 is a wasteful number, since it uses less digits than its factorization.

1005045422225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092447476 (or 3092447471 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 1005045422225 in words is "one trillion, five billion, forty-five million, four hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 3092447453 15462237265 40201816889 77311186325 201009084445 1005045422225