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1001102258 = 213217212
BaseRepresentation
bin111011101010111…
…001101110110010
32120202202021010102
4323222321232302
54022240233013
6243201032402
733544141322
oct7352715662
92522667112
101001102258
11474106a42
1223b325702
1312c534b00
1496d57282
155cd4cd58
hex3bab9bb2

1001102258 has 18 divisors (see below), whose sum is σ = 1626996087. Its totient is φ = 461778720.

The previous prime is 1001102257. The next prime is 1001102261. The reversal of 1001102258 is 8522011001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 360354289 + 640747969 = 18983^2 + 25313^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22373.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001102257) 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 8 ways as a sum of consecutive naturals, for example, 580838 + ... + 582558.

Almost surely, 21001102258 is an apocalyptic number.

1001102258 is a deficient number, since it is larger than the sum of its proper divisors (625893829).

1001102258 is an frugal number, since it uses more digits than its factorization.

1001102258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1001102258 is about 31640.2000309733. The cubic root of 1001102258 is about 1000.3672844190.

Adding to 1001102258 its reverse (8522011001), we get a palindrome (9523113259).

The spelling of 1001102258 in words is "one billion, one million, one hundred two thousand, two hundred fifty-eight".

Divisors: 1 2 13 26 169 338 1721 3442 22373 44746 290849 581698 2961841 5923682 38503933 77007866 500551129 1001102258