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1010011301 = 13531579337
BaseRepresentation
bin111100001100111…
…000110010100101
32121101111220000222
4330030320302211
54032030330201
6244120014125
734012645235
oct7414706245
92541456028
101010011301
11479141492
12242301345
13131333c30
14981d5cc5
155da0c91b
hex3c338ca5

1010011301 has 16 divisors (see below), whose sum is σ = 1115405424. Its totient is φ = 908803584.

The previous prime is 1010011297. The next prime is 1010011307. The reversal of 1010011301 is 1031100101.

1010011301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8352100 + 1001659201 = 2890^2 + 31649^2 .

It is not a de Polignac number, because 1010011301 - 22 = 1010011297 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 (1010011307) 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, 103505 + ... + 112841.

It is an arithmetic number, because the mean of its divisors is an integer number (69712839).

Almost surely, 21010011301 is an apocalyptic number.

It is an amenable number.

1010011301 is a deficient number, since it is larger than the sum of its proper divisors (105394123).

1010011301 is a wasteful number, since it uses less digits than its factorization.

1010011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1010011301 is about 31780.6749613661. The cubic root of 1010011301 is about 1003.3260256222.

Adding to 1010011301 its reverse (1031100101), we get a palindrome (2041111402).

The spelling of 1010011301 in words is "one billion, ten million, eleven thousand, three hundred one".

Divisors: 1 13 53 157 689 2041 8321 9337 108173 121381 494861 1465909 6433193 19056817 77693177 1010011301