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1055161117 = 174111313397
BaseRepresentation
bin111110111001000…
…111101100011101
32201112110201221101
4332321013230131
54130110123432
6252411433101
735101502323
oct7671075435
92645421841
101055161117
114a167a18a
12255455791
1313a7b17ba
14a01c9d13
156297a4e7
hex3ee47b1d

1055161117 has 16 divisors (see below), whose sum is σ = 1154693232. Its totient is φ = 960225280.

The previous prime is 1055161109. The next prime is 1055161123. The reversal of 1055161117 is 7111615501.

It can be written as a sum of positive squares in 8 ways, for example, as 502252921 + 552908196 = 22411^2 + 23514^2 .

It is not a de Polignac number, because 1055161117 - 23 = 1055161109 is a prime.

It is a super-2 number, since 2×10551611172 = 2226729965657375378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055161147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72063 + ... + 85459.

It is an arithmetic number, because the mean of its divisors is an integer number (72168327).

Almost surely, 21055161117 is an apocalyptic number.

1055161117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1055161117 is a deficient number, since it is larger than the sum of its proper divisors (99532115).

1055161117 is a wasteful number, since it uses less digits than its factorization.

1055161117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568.

The product of its (nonzero) digits is 1050, while the sum is 28.

The square root of 1055161117 is about 32483.2436342186. The cubic root of 1055161117 is about 1018.0589501568.

Adding to 1055161117 its reverse (7111615501), we get a palindrome (8166776618).

The spelling of 1055161117 in words is "one billion, fifty-five million, one hundred sixty-one thousand, one hundred seventeen".

Divisors: 1 17 41 113 697 1921 4633 13397 78761 227749 549277 1513861 9337709 25735637 62068301 1055161117