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1002112225 = 52332912041
BaseRepresentation
bin111011101110110…
…000010011100001
32120211122120112121
4323232300103201
54023020042400
6243234424241
733555545662
oct7356602341
92524576477
101002112225
11474736824
1223b732081
1312c7c971a
149713b369
155ce9c21a
hex3bbb04e1

1002112225 has 12 divisors (see below), whose sum is σ = 1243095660. Its totient is φ = 801382400.

The previous prime is 1002112219. The next prime is 1002112253. The reversal of 1002112225 is 5222112001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 16654561 + 985457664 = 4081^2 + 31392^2 .

It is not a de Polignac number, because 1002112225 - 211 = 1002110177 is a prime.

It is a super-2 number, since 2×10021122252 = 2008457822988901250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002112199 and 1002112208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77205 + ... + 89245.

It is an arithmetic number, because the mean of its divisors is an integer number (103591305).

Almost surely, 21002112225 is an apocalyptic number.

It is an amenable number.

1002112225 is a deficient number, since it is larger than the sum of its proper divisors (240983435).

1002112225 is a wasteful number, since it uses less digits than its factorization.

1002112225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15380 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1002112225 is about 31656.1561943329. The cubic root of 1002112225 is about 1000.7035798593.

Adding to 1002112225 its reverse (5222112001), we get a palindrome (6224224226).

The spelling of 1002112225 in words is "one billion, two million, one hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 25 3329 12041 16645 60205 83225 301025 40084489 200422445 1002112225