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2100003131 is a prime number
BaseRepresentation
bin111110100101011…
…1000000100111011
312102100112012201202
41331022320010323
513300100100011
6544214204415
7103016506052
oct17512700473
95370465652
102100003131
11988440486
124a735370b
132760bc405
1415cc8b399
15c456823b
hex7d2b813b

2100003131 has 2 divisors, whose sum is σ = 2100003132. Its totient is φ = 2100003130.

The previous prime is 2100003127. The next prime is 2100003161. The reversal of 2100003131 is 1313000012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100003131 - 22 = 2100003127 is a prime.

It is a super-2 number, since 2×21000031312 = 8820026300419606322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100003121) 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 as a sum of consecutive naturals, namely, 1050001565 + 1050001566.

It is an arithmetic number, because the mean of its divisors is an integer number (1050001566).

Almost surely, 22100003131 is an apocalyptic number.

2100003131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100003131 is an equidigital number, since it uses as much as digits as its factorization.

2100003131 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2100003131 is about 45825.7911115564. The cubic root of 2100003131 is about 1280.5798014147.

Adding to 2100003131 its reverse (1313000012), we get a palindrome (3413003143).

The spelling of 2100003131 in words is "two billion, one hundred million, three thousand, one hundred thirty-one".