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1016046961 is a prime number
BaseRepresentation
bin111100100011111…
…010010101110001
32121210212112101221
4330203322111301
54040102000321
6244453225041
734115154016
oct7443722561
92553775357
101016046961
11481594136
12244332181
13132668227
1498d2770d
155e300e41
hex3c8fa571

1016046961 has 2 divisors, whose sum is σ = 1016046962. Its totient is φ = 1016046960.

The previous prime is 1016046959. The next prime is 1016046989. The reversal of 1016046961 is 1696406101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 739024225 + 277022736 = 27185^2 + 16644^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016046961 - 21 = 1016046959 is a prime.

Together with 1016046959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1016046901) 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, 508023480 + 508023481.

It is an arithmetic number, because the mean of its divisors is an integer number (508023481).

Almost surely, 21016046961 is an apocalyptic number.

It is an amenable number.

1016046961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016046961 is an equidigital number, since it uses as much as digits as its factorization.

1016046961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 1016046961 is about 31875.4915413080. The cubic root of 1016046961 is about 1005.3206277134.

It can be divided in two parts, 10160 and 46961, that added together give a square (57121 = 2392).

The spelling of 1016046961 in words is "one billion, sixteen million, forty-six thousand, nine hundred sixty-one".