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2031395041 = 13234672
BaseRepresentation
bin111100100010100…
…1010000011100001
312020120102120010101
41321011022003201
513130014120131
6533323502401
7101224400344
oct17105120341
95216376111
102031395041
11952740185
12488387a01
13264b1a300
14153b0c45b
15bd514c61
hex7914a0e1

2031395041 has 9 divisors (see below), whose sum is σ = 2200310931. Its totient is φ = 1874593032.

The previous prime is 2031395039. The next prime is 2031395071. The reversal of 2031395041 is 1405931302.

The square root of 2031395041 is 45071.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 300502225 + 1730892816 = 17335^2 + 41604^2 .

It is not a de Polignac number, because 2031395041 - 21 = 2031395039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2031395071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 584190 + ... + 587656.

Almost surely, 22031395041 is an apocalyptic number.

2031395041 is the 45071-st square number.

2031395041 is the 22536-th centered octagonal number.

It is an amenable number.

2031395041 is a deficient number, since it is larger than the sum of its proper divisors (168915890).

2031395041 is an frugal number, since it uses more digits than its factorization.

2031395041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The cubic root of 2031395041 is about 1266.4793975764.

The spelling of 2031395041 in words is "two billion, thirty-one million, three hundred ninety-five thousand, forty-one".

Divisors: 1 13 169 3467 45071 585923 12020089 156261157 2031395041