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1121746105 = 51773293617
BaseRepresentation
bin100001011011100…
…0111110010111001
32220011202121101001
41002313013302321
54244131333410
6303150525001
736540453544
oct10267076271
92804677331
101121746105
115262184a7
12273806761
1314b525abc
14a8d9d85b
156872e33a
hex42dc7cb9

1121746105 has 32 divisors (see below), whose sum is σ = 1452082464. Its totient is φ = 828850176.

The previous prime is 1121746069. The next prime is 1121746123. The reversal of 1121746105 is 5016471211.

It can be written as a sum of positive squares in 16 ways, for example, as 106750224 + 1014995881 = 10332^2 + 31859^2 .

It is not a de Polignac number, because 1121746105 - 29 = 1121745593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1817757 + ... + 1818373.

It is an arithmetic number, because the mean of its divisors is an integer number (45377577).

Almost surely, 21121746105 is an apocalyptic number.

It is an amenable number.

1121746105 is a deficient number, since it is larger than the sum of its proper divisors (330336359).

1121746105 is a wasteful number, since it uses less digits than its factorization.

1121746105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1121746105 is about 33492.4783346948. The cubic root of 1121746105 is about 1039.0382211019.

The spelling of 1121746105 in words is "one billion, one hundred twenty-one million, seven hundred forty-six thousand, one hundred five".

Divisors: 1 5 17 73 85 293 365 617 1241 1465 3085 4981 6205 10489 21389 24905 45041 52445 106945 180781 225205 363613 765697 903905 1818065 3073277 3828485 13197013 15366385 65985065 224349221 1121746105