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2100313049 is a prime number
BaseRepresentation
bin111110100110000…
…0011101111011001
312102101002221212012
41331030003233121
513300140004144
6544224555305
7103022236442
oct17514035731
95371087765
102100313049
1198863230a
124a7482b35
1327619a4b3
1415cd2c2c9
15c45c9e9e
hex7d303bd9

2100313049 has 2 divisors, whose sum is σ = 2100313050. Its totient is φ = 2100313048.

The previous prime is 2100313013. The next prime is 2100313051. The reversal of 2100313049 is 9403130012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1847280400 + 253032649 = 42980^2 + 15907^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100313049 - 220 = 2099264473 is a prime.

It is a super-2 number, since 2×21003130492 = 8822629807599352802, which contains 22 as substring.

Together with 2100313051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2100313099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050156524 + 1050156525.

It is an arithmetic number, because the mean of its divisors is an integer number (1050156525).

Almost surely, 22100313049 is an apocalyptic number.

It is an amenable number.

2100313049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100313049 is an equidigital number, since it uses as much as digits as its factorization.

2100313049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2100313049 is about 45829.1724668906. The cubic root of 2100313049 is about 1280.6427942111.

The spelling of 2100313049 in words is "two billion, one hundred million, three hundred thirteen thousand, forty-nine".