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2005201431 = 321481150439
BaseRepresentation
bin111011110000100…
…1111001000010111
312011202010210020200
41313201033020113
513101312421211
6530550231543
7100455634212
oct16741171027
95152123220
102005201431
1193997a572
1247b6555b3
1325c578a2c
14150450779
15bb08db56
hex7784f217

2005201431 has 12 divisors (see below), whose sum is σ = 2898377040. Its totient is φ = 1335889440.

The previous prime is 2005201409. The next prime is 2005201439. The reversal of 2005201431 is 1341025002.

2005201431 is a `hidden beast` number, since 2 + 0 + 0 + 520 + 143 + 1 = 666.

It is not a de Polignac number, because 2005201431 - 226 = 1938092567 is a prime.

It is a super-2 number, since 2×20052014312 = 8041665557768895522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005201439) 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 11 ways as a sum of consecutive naturals, for example, 61891 + ... + 88548.

It is an arithmetic number, because the mean of its divisors is an integer number (241531420).

Almost surely, 22005201431 is an apocalyptic number.

2005201431 is a deficient number, since it is larger than the sum of its proper divisors (893175609).

2005201431 is a wasteful number, since it uses less digits than its factorization.

2005201431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151926 (or 151923 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005201431 is about 44779.4755552139. The cubic root of 2005201431 is about 1261.0123364667.

Adding to 2005201431 its reverse (1341025002), we get a palindrome (3346226433).

The spelling of 2005201431 in words is "two billion, five million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 1481 4443 13329 150439 451317 1353951 222800159 668400477 2005201431