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1000242657 = 32111138073
BaseRepresentation
bin111011100111100…
…111110111100001
32120201010120222100
4323213213313201
54022030231112
6243130401013
733533631231
oct7347476741
92521116870
101000242657
1147367a127
1223ab90169
1312c2c377b
1496bb1cc1
155cc2d2dc
hex3b9e7de1

1000242657 has 6 divisors (see below), whose sum is σ = 1444794962. Its totient is φ = 666828432.

The previous prime is 1000242647. The next prime is 1000242667. The reversal of 1000242657 is 7562420001.

1000242657 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 4 + 2 + 657 = 666.

It is an interprime number because it is at equal distance from previous prime (1000242647) and next prime (1000242667).

It can be written as a sum of positive squares in only one way, i.e., 639280656 + 360962001 = 25284^2 + 18999^2 .

It is not a de Polignac number, because 1000242657 - 210 = 1000241633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000242657.

It is not an unprimeable number, because it can be changed into a prime (1000242647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55569028 + ... + 55569045.

Almost surely, 21000242657 is an apocalyptic number.

It is an amenable number.

1000242657 is a deficient number, since it is larger than the sum of its proper divisors (444552305).

1000242657 is a wasteful number, since it uses less digits than its factorization.

1000242657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111138079 (or 111138076 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1000242657 is about 31626.6131130097. The cubic root of 1000242657 is about 1000.0808791251.

Adding to 1000242657 its reverse (7562420001), we get a palindrome (8562662658).

The spelling of 1000242657 in words is "one billion, two hundred forty-two thousand, six hundred fifty-seven".

Divisors: 1 3 9 111138073 333414219 1000242657