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1006104233224 = 231009312460421
BaseRepresentation
bin11101010010000000111…
…11000100010100001000
310120011221010121121021001
432221000133010110020
5112441000140430344
62050110425224344
7132455125610236
oct16510037042410
93504833547231
101006104233224
11358760679742
12142ba63320b4
1373b4bb2ab6c
14369a5029956
151b2875dced4
hexea407c4508

1006104233224 has 16 divisors (see below), whose sum is σ = 1886632495020. Its totient is φ = 503002234560.

The previous prime is 1006104233221. The next prime is 1006104233261. The reversal of 1006104233224 is 4223324016001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 916840720324 + 89263512900 = 957518^2 + 298770^2 .

It is a super-2 number, since 2×10061042332242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006104233192 and 1006104233201.

It is not an unprimeable number, because it can be changed into a prime (1006104233221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6149467 + ... + 6310954.

Almost surely, 21006104233224 is an apocalyptic number.

It is an amenable number.

1006104233224 is a deficient number, since it is larger than the sum of its proper divisors (880528261796).

1006104233224 is a wasteful number, since it uses less digits than its factorization.

1006104233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470520 (or 12470516 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1006104233224 its reverse (4223324016001), we get a palindrome (5229428249225).

The spelling of 1006104233224 in words is "one trillion, six billion, one hundred four million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 10093 20186 40372 80744 12460421 24920842 49841684 99683368 125763029153 251526058306 503052116612 1006104233224