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1001010010 = 257112139091
BaseRepresentation
bin111011101010100…
…011001101011010
32120202120120120211
4323222203031122
54022224310020
6243155041334
733543305350
oct7352431532
92522516524
101001010010
11474053700
1223b2a024a
1312c501b20
1496d317d0
155cd3085a
hex3baa335a

1001010010 has 96 divisors (see below), whose sum is σ = 2437819776. Its totient is φ = 287971200.

The previous prime is 1001009987. The next prime is 1001010011. The reversal of 1001010010 is 100101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105565 + ... + 114655.

It is an arithmetic number, because the mean of its divisors is an integer number (25393956).

Almost surely, 21001010010 is an apocalyptic number.

1001010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001010010 is an abundant number, since it is smaller than the sum of its proper divisors (1436809766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001010010 is a wasteful number, since it uses less digits than its factorization.

1001010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1001010010 is about 31638.7422316375. The cubic root of 1001010010 is about 1000.3365567169.

Adding to 1001010010 its reverse (100101001), we get a palindrome (1101111011).

Subtracting from 1001010010 its reverse (100101001), we obtain a palindrome (900909009).

The spelling of 1001010010 in words is "one billion, one million, ten thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 9091 10010 11011 15730 18182 22022 45455 55055 63637 90910 100001 110110 118183 127274 200002 236366 318185 500005 590915 636370 700007 827281 1000010 1100011 1181830 1300013 1400014 1654562 2200022 2600026 3500035 4136405 5500055 6500065 7000070 7700077 8272810 9100091 11000110 13000130 14300143 15400154 18200182 28600286 38500385 45500455 71500715 77000770 91000910 100101001 143001430 200202002 500505005 1001010010