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1010012125 = 5337218381
BaseRepresentation
bin111100001100111…
…000111111011101
32121101111221011111
4330030320333131
54032030342000
6244120022021
734012650523
oct7414707735
92541457144
101010012125
11479142071
12242301911
13131334415
14981d6313
155da0ccba
hex3c338fdd

1010012125 has 16 divisors (see below), whose sum is σ = 1294568496. Its totient is φ = 786168000.

The previous prime is 1010012117. The next prime is 1010012131. The reversal of 1010012125 is 5212100101.

It can be written as a sum of positive squares in 8 ways, for example, as 3663396 + 1006348729 = 1914^2 + 31723^2 .

It is not a de Polignac number, because 1010012125 - 23 = 1010012117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104566 + ... + 113815.

It is an arithmetic number, because the mean of its divisors is an integer number (80910531).

Almost surely, 21010012125 is an apocalyptic number.

It is an amenable number.

1010012125 is a deficient number, since it is larger than the sum of its proper divisors (284556371).

1010012125 is an equidigital number, since it uses as much as digits as its factorization.

1010012125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218433 (or 218423 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 1010012125 is about 31780.6879252165. The cubic root of 1010012125 is about 1003.3262984708.

Adding to 1010012125 its reverse (5212100101), we get a palindrome (6222112226).

The spelling of 1010012125 in words is "one billion, ten million, twelve thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 925 4625 218381 1091905 5459525 8080097 27297625 40400485 202002425 1010012125