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3135061031 = 31293547631
BaseRepresentation
bin1011101011011101…
…0011110000100111
322002111011121020112
42322313103300213
522410033423111
61235031123235
7140455402424
oct27267236047
98074147215
103135061031
111369729833
12735b1351b
133ac6827cb
1421a522d4b
15135371e8b
hexbadd3c27

3135061031 has 16 divisors (see below), whose sum is σ = 3258329088. Its totient is φ = 3013264800.

The previous prime is 3135061021. The next prime is 3135061051. The reversal of 3135061031 is 1301605313.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3135061031 is a prime.

It is a super-2 number, since 2×31350610312 = 19657215336189565922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3135060988 and 3135061006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135061021) 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 15 ways as a sum of consecutive naturals, for example, 4968086 + ... + 4968716.

It is an arithmetic number, because the mean of its divisors is an integer number (203645568).

Almost surely, 23135061031 is an apocalyptic number.

3135061031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3135061031 is a deficient number, since it is larger than the sum of its proper divisors (123268057).

3135061031 is a wasteful number, since it uses less digits than its factorization.

3135061031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 3135061031 is about 55991.6157205702. The cubic root of 3135061031 is about 1463.5761820700.

Adding to 3135061031 its reverse (1301605313), we get a palindrome (4436666344).

The spelling of 3135061031 in words is "three billion, one hundred thirty-five million, sixty-one thousand, thirty-one".

Divisors: 1 31 293 547 631 9083 16957 19561 160271 184883 345157 4968401 5731373 10699867 101131001 3135061031