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1031829049 is a prime number
BaseRepresentation
bin111101100000000…
…111011000111001
32122220120100100201
4331200013120321
54103122012144
6250215402201
734366254646
oct7540073071
92586510321
101031829049
1148a493489
12249683361
13135a02844
149b074dcd
15608bc1d4
hex3d807639

1031829049 has 2 divisors, whose sum is σ = 1031829050. Its totient is φ = 1031829048.

The previous prime is 1031829047. The next prime is 1031829119. The reversal of 1031829049 is 9409281301.

1031829049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 694849600 + 336979449 = 26360^2 + 18357^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031829049 - 21 = 1031829047 is a prime.

Together with 1031829047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1031828999 and 1031829017.

It is not a weakly prime, because it can be changed into another prime (1031829047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515914524 + 515914525.

It is an arithmetic number, because the mean of its divisors is an integer number (515914525).

Almost surely, 21031829049 is an apocalyptic number.

It is an amenable number.

1031829049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031829049 is an equidigital number, since it uses as much as digits as its factorization.

1031829049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1031829049 is about 32122.0959621255. The cubic root of 1031829049 is about 1010.4990668237.

The spelling of 1031829049 in words is "one billion, thirty-one million, eight hundred twenty-nine thousand, forty-nine".