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3111061829 = 17953192029
BaseRepresentation
bin1011100101101111…
…0000100101000101
322000211000022112012
42321123300211011
522332412434304
61232412504005
7140044406051
oct27133604505
98024008465
103111061829
111357127887
12729a7b005
133a76cbcb5
14217276c61
151331d116e
hexb96f0945

3111061829 has 8 divisors (see below), whose sum is σ = 3297539160. Its totient is φ = 2924970496.

The previous prime is 3111061819. The next prime is 3111061927. The reversal of 3111061829 is 9281601113.

3111061829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 343249729 + 2767812100 = 18527^2 + 52610^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3111061829 - 24 = 3111061813 is a prime.

It is a super-3 number, since 3×31110618293 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3111061795 and 3111061804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111061819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79814 + ... + 112215.

It is an arithmetic number, because the mean of its divisors is an integer number (412192395).

Almost surely, 23111061829 is an apocalyptic number.

It is an amenable number.

3111061829 is a deficient number, since it is larger than the sum of its proper divisors (186477331).

3111061829 is a wasteful number, since it uses less digits than its factorization.

3111061829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192999.

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 3111061829 is about 55776.8933251037. The cubic root of 3111061829 is about 1459.8320049714.

The spelling of 3111061829 in words is "three billion, one hundred eleven million, sixty-one thousand, eight hundred twenty-nine".

Divisors: 1 17 953 16201 192029 3264493 183003637 3111061829