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3111296841 = 32185932
BaseRepresentation
bin1011100101110010…
…1001111101001001
322000211110020220100
42321130221331021
522332442444331
61232421520013
7140046405162
oct27134517511
98024406810
103111296841
111357278404
12729b73009
133a7781c63
142172d8769
1513322aae6
hexb9729f49

3111296841 has 9 divisors (see below), whose sum is σ = 4494337159. Its totient is φ = 2074086336.

The previous prime is 3111296833. The next prime is 3111296843. The reversal of 3111296841 is 1486921113.

The square root of 3111296841 is 55779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1808375625 + 1302921216 = 42525^2 + 36096^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3111296841 - 23 = 3111296833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3111296796 and 3111296805.

It is not an unprimeable number, because it can be changed into a prime (3111296843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 158041 + ... + 176633.

Almost surely, 23111296841 is an apocalyptic number.

3111296841 is the 55779-th square number.

3111296841 is the 27890-th centered octagonal number.

It is an amenable number.

3111296841 is a deficient number, since it is larger than the sum of its proper divisors (1383040318).

3111296841 is an frugal number, since it uses more digits than its factorization.

3111296841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37192 (or 18596 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The cubic root of 3111296841 is about 1459.8687629894.

Multiplying 3111296841 by its sum of digits (36), we get a square (112006686276 = 3346742).

The spelling of 3111296841 in words is "three billion, one hundred eleven million, two hundred ninety-six thousand, eight hundred forty-one".

Divisors: 1 3 9 18593 55779 167337 345699649 1037098947 3111296841