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3141116261 = 311013892579
BaseRepresentation
bin1011101100111001…
…1010000101100101
322002220120020110022
42323032122011211
522413111210021
61235405004525
7140561022233
oct27316320545
98086506408
103141116261
111372095158
12737b53745
133b09c299a
1421b25b953
15135b6b1ab
hexbb39a165

3141116261 has 16 divisors (see below), whose sum is σ = 3284236800. Its totient is φ = 3000792000.

The previous prime is 3141116227. The next prime is 3141116269. The reversal of 3141116261 is 1626111413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3141116261 is a prime.

It is a super-2 number, since 2×31411162612 = 19733222730237240242, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3141116261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141116269) 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, 1216670 + ... + 1219248.

It is an arithmetic number, because the mean of its divisors is an integer number (205264800).

Almost surely, 23141116261 is an apocalyptic number.

3141116261 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3141116261 is a deficient number, since it is larger than the sum of its proper divisors (143120539).

3141116261 is a wasteful number, since it uses less digits than its factorization.

3141116261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100.

The product of its digits is 864, while the sum is 26.

The square root of 3141116261 is about 56045.6622853187. The cubic root of 3141116261 is about 1464.5178533513.

Adding to 3141116261 its reverse (1626111413), we get a palindrome (4767227674).

The spelling of 3141116261 in words is "three billion, one hundred forty-one million, one hundred sixteen thousand, two hundred sixty-one".

Divisors: 1 31 101 389 2579 3131 12059 39289 79949 260479 1003231 1217959 8074849 31100161 101326331 3141116261