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1050504961 = 11293319949
BaseRepresentation
bin111110100111010…
…110111100000001
32201012201011220011
4332213112330001
54122412124321
6252123544521
735014100452
oct7647267401
92635634804
101050504961
11499a89a20
1225398b141
1313984138c
149d737129
156235aae1
hex3e9d6f01

1050504961 has 16 divisors (see below), whose sum is σ = 1189224000. Its totient is φ = 919195200.

The previous prime is 1050504941. The next prime is 1050504977. The reversal of 1050504961 is 1694050501.

It is not a de Polignac number, because 1050504961 - 217 = 1050373889 is a prime.

It is a super-2 number, since 2×10505049612 = 2207121346171223042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1050504901) 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 in 15 ways as a sum of consecutive naturals, for example, 100615 + ... + 110563.

It is an arithmetic number, because the mean of its divisors is an integer number (74326500).

Almost surely, 21050504961 is an apocalyptic number.

1050504961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1050504961 is a deficient number, since it is larger than the sum of its proper divisors (138719039).

1050504961 is a wasteful number, since it uses less digits than its factorization.

1050504961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1050504961 is about 32411.4942728656. The cubic root of 1050504961 is about 1016.5592642014.

It can be divided in two parts, 105050 and 4961, that added together give a palindrome (110011).

The spelling of 1050504961 in words is "one billion, fifty million, five hundred four thousand, nine hundred sixty-one".

Divisors: 1 11 29 319 331 3641 9599 9949 105589 109439 288521 3173731 3293119 36224309 95500451 1050504961