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1005230145025 = 52237411693661
BaseRepresentation
bin11101010000011000110…
…00101011111000000001
310120002200012212022200001
432220030120223320001
5112432202404120100
62045444002400001
7132424353152161
oct16501430537001
93502605768601
101005230145025
113583522352a7
121429a1660001
1373a3ca07702
1436920cd65a1
151b2359cdd6a
hexea0c62be01

1005230145025 has 12 divisors (see below), whose sum is σ = 1246538619324. Its totient is φ = 804149768000.

The previous prime is 1005230144999. The next prime is 1005230145053. The reversal of 1005230145025 is 5205410325001.

It can be written as a sum of positive squares in 6 ways, for example, as 191829984256 + 813400160769 = 437984^2 + 901887^2 .

It is not a de Polignac number, because 1005230145025 - 25 = 1005230144993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005230144984 and 1005230145002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 253306 + ... + 1440355.

It is an arithmetic number, because the mean of its divisors is an integer number (103878218277).

Almost surely, 21005230145025 is an apocalyptic number.

It is an amenable number.

1005230145025 is a deficient number, since it is larger than the sum of its proper divisors (241308474299).

1005230145025 is a wasteful number, since it uses less digits than its factorization.

1005230145025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717412 (or 1717407 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 1005230145025 in words is "one trillion, five billion, two hundred thirty million, one hundred forty-five thousand, twenty-five".

Divisors: 1 5 25 23741 118705 593525 1693661 8468305 42341525 40209205801 201046029005 1005230145025