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3113723129 = 1125329161
BaseRepresentation
bin1011100110010111…
…1010010011111001
322001000000112010212
42321211322103321
522334103120004
61232545520505
7140106131666
oct27145722371
98030015125
103113723129
111358685300
1272a943135
133a812142a
1421776aa6d
1513355996e
hexb997a4f9

3113723129 has 18 divisors (see below), whose sum is σ = 3488697198. Its totient is φ = 2776945600.

The previous prime is 3113723089. The next prime is 3113723131. The reversal of 3113723129 is 9213273113.

It can be written as a sum of positive squares in 3 ways, for example, as 813561529 + 2300161600 = 28523^2 + 47960^2 .

It is not a de Polignac number, because 3113723129 - 220 = 3112674553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3113723095 and 3113723104.

It is not an unprimeable number, because it can be changed into a prime (3113723159) 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 17 ways as a sum of consecutive naturals, for example, 335309 + ... + 344469.

It is an arithmetic number, because the mean of its divisors is an integer number (193816511).

Almost surely, 23113723129 is an apocalyptic number.

It is an amenable number.

3113723129 is a deficient number, since it is larger than the sum of its proper divisors (374974069).

3113723129 is an equidigital number, since it uses as much as digits as its factorization.

3113723129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9225 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 3113723129 is about 55800.7448785408. The cubic root of 3113723129 is about 1460.2481483822.

The spelling of 3113723129 in words is "three billion, one hundred thirteen million, seven hundred twenty-three thousand, one hundred twenty-nine".

Divisors: 1 11 53 121 583 2809 6413 9161 30899 100771 339889 485533 1108481 5340863 25733249 58749493 283065739 3113723129