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1006011061 = 1131634637
BaseRepresentation
bin111011111101101…
…000001010110101
32121002222122201221
4323331220022311
54030014323221
6243454150341
733633644566
oct7375501265
92532878657
101006011061
1147695a000
12240ab23b1
13130563223
149787416d
155d4bc541
hex3bf682b5

1006011061 has 16 divisors (see below), whose sum is σ = 1113565248. Its totient is φ = 908748720.

The previous prime is 1006011059. The next prime is 1006011079. The reversal of 1006011061 is 1601106001.

It is not a de Polignac number, because 1006011061 - 21 = 1006011059 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214635 + ... + 219271.

It is an arithmetic number, because the mean of its divisors is an integer number (69597828).

Almost surely, 21006011061 is an apocalyptic number.

1006011061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006011061 is a deficient number, since it is larger than the sum of its proper divisors (107554187).

1006011061 is an equidigital number, since it uses as much as digits as its factorization.

1006011061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1006011061 is about 31717.6774212741. The cubic root of 1006011061 is about 1001.9996855921. Note that the first 3 decimals are identical.

Adding to 1006011061 its reverse (1601106001), we get a palindrome (2607117062).

The spelling of 1006011061 in words is "one billion, six million, eleven thousand, sixty-one".

Divisors: 1 11 121 163 1331 1793 4637 19723 51007 216953 561077 755831 6171847 8314141 91455551 1006011061