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3135111349 is a prime number
BaseRepresentation
bin1011101011011110…
…0000000010110101
322002111021011021011
42322313200002311
522410042030344
61235032152221
7140456002216
oct27267400265
98074234234
103135111349
111369763617
12735b38671
133ac69c696
1421a53740d
15135381d34
hexbade00b5

3135111349 has 2 divisors, whose sum is σ = 3135111350. Its totient is φ = 3135111348.

The previous prime is 3135111319. The next prime is 3135111361. The reversal of 3135111349 is 9431115313.

3135111349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2991543025 + 143568324 = 54695^2 + 11982^2 .

It is a cyclic number.

It is not a de Polignac number, because 3135111349 - 29 = 3135110837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3135111349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3135111319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1567555674 + 1567555675.

It is an arithmetic number, because the mean of its divisors is an integer number (1567555675).

Almost surely, 23135111349 is an apocalyptic number.

It is an amenable number.

3135111349 is a deficient number, since it is larger than the sum of its proper divisors (1).

3135111349 is an equidigital number, since it uses as much as digits as its factorization.

3135111349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4860, while the sum is 31.

The square root of 3135111349 is about 55992.0650538985. The cubic root of 3135111349 is about 1463.5840122028.

The spelling of 3135111349 in words is "three billion, one hundred thirty-five million, one hundred eleven thousand, three hundred forty-nine".