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3133003133 = 131012419901
BaseRepresentation
bin1011101010111101…
…1101010101111101
322002100022001100002
42322233131111331
522404022100013
61234515044045
7140432041631
oct27257352575
98070261302
103133003133
111368553697
127352a0625
133ac111c10
1421a148dc1
151350b7358
hexbabdd57d

3133003133 has 16 divisors (see below), whose sum is σ = 3421893552. Its totient is φ = 2851200000.

The previous prime is 3133003129. The next prime is 3133003163. The reversal of 3133003133 is 3313003313.

It can be written as a sum of positive squares in 8 ways, for example, as 778521604 + 2354481529 = 27902^2 + 48523^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133003133 - 22 = 3133003129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133003163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311483 + ... + 321383.

It is an arithmetic number, because the mean of its divisors is an integer number (213868347).

Almost surely, 23133003133 is an apocalyptic number.

It is an amenable number.

3133003133 is a deficient number, since it is larger than the sum of its proper divisors (288890419).

3133003133 is a wasteful number, since it uses less digits than its factorization.

3133003133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256.

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 3133003133 is about 55973.2358632231. The cubic root of 3133003133 is about 1463.2558746689.

Adding to 3133003133 its reverse (3313003313), we get a palindrome (6446006446).

It can be divided in two parts, 313300 and 3133, that multiplied together give a square (981568900 = 313302).

The spelling of 3133003133 in words is "three billion, one hundred thirty-three million, three thousand, one hundred thirty-three".

Divisors: 1 13 101 241 1313 3133 9901 24341 128713 316433 1000001 2386141 13000013 31019833 241000241 3133003133