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20131000301 is a prime number
BaseRepresentation
bin10010101111111001…
…101010111111101101
31220221222000202212202
4102233321222333231
5312212014002201
613125325111245
71311602451656
oct225771527755
956858022782
1020131000301
1185a0474535
123a999b8525
131b8a8837c9
14d8d86652d
157cc4e5c6b
hex4afe6afed

20131000301 has 2 divisors, whose sum is σ = 20131000302. Its totient is φ = 20131000300.

The previous prime is 20131000283. The next prime is 20131000321. The reversal of 20131000301 is 10300013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14185048201 + 5945952100 = 119101^2 + 77110^2 .

It is a cyclic number.

It is not a de Polignac number, because 20131000301 - 210 = 20130999277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131000321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065500150 + 10065500151.

It is an arithmetic number, because the mean of its divisors is an integer number (10065500151).

Almost surely, 220131000301 is an apocalyptic number.

It is an amenable number.

20131000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131000301 is an equidigital number, since it uses as much as digits as its factorization.

20131000301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20131000301 its reverse (10300013102), we get a palindrome (30431013403).

The spelling of 20131000301 in words is "twenty billion, one hundred thirty-one million, three hundred one", and thus it is an aban number.