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1000252141 = 7315671861
BaseRepresentation
bin111011100111101…
…010001011101101
32120201011001222121
4323213222023231
54022031032031
6243130512541
733534001000
oct7347521355
92521131877
101000252141
11473686269
1223ab95751
1312c2c7b95
1496bb5537
155cc31011
hex3b9ea2ed

1000252141 has 16 divisors (see below), whose sum is σ = 1167846400. Its totient is φ = 856351440.

The previous prime is 1000252139. The next prime is 1000252151. The reversal of 1000252141 is 1412520001.

It is not a de Polignac number, because 1000252141 - 21 = 1000252139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000252151) by changing a digit.

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, 536551 + ... + 538411.

It is an arithmetic number, because the mean of its divisors is an integer number (72990400).

Almost surely, 21000252141 is an apocalyptic number.

It is an amenable number.

1000252141 is a deficient number, since it is larger than the sum of its proper divisors (167594259).

1000252141 is an equidigital number, since it uses as much as digits as its factorization.

1000252141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3435 counting only the distinct ones).

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

The square root of 1000252141 is about 31626.7630496704. The cubic root of 1000252141 is about 1000.0840399371.

Adding to 1000252141 its reverse (1412520001), we get a palindrome (2412772142).

The spelling of 1000252141 in words is "one billion, two hundred fifty-two thousand, one hundred forty-one".

Divisors: 1 7 49 343 1567 1861 10969 13027 76783 91189 537481 638323 2916187 20413309 142893163 1000252141