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3132002133 = 34132228797
BaseRepresentation
bin1011101010101110…
…1000111101010101
322002021102012020000
42322223220331111
522403243032013
61234441401513
7140420402361
oct27253507525
98067365200
103132002133
111367a2a617
12734a99299
133abb51400
14219d682a1
15134e6a973
hexbaae8f55

3132002133 has 30 divisors (see below), whose sum is σ = 5066274114. Its totient is φ = 1927377504.

The previous prime is 3132002119. The next prime is 3132002141. The reversal of 3132002133 is 3312002313.

It can be written as a sum of positive squares in 3 ways, for example, as 119968209 + 3012033924 = 10953^2 + 54882^2 .

It is not a de Polignac number, because 3132002133 - 222 = 3127807829 is a prime.

It is a super-2 number, since 2×31320021332 = 19618874722233099378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132002143) 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 29 ways as a sum of consecutive naturals, for example, 100710 + ... + 128087.

Almost surely, 23132002133 is an apocalyptic number.

It is an amenable number.

3132002133 is a deficient number, since it is larger than the sum of its proper divisors (1934271981).

3132002133 is a wasteful number, since it uses less digits than its factorization.

3132002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228835 (or 228813 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3132002133 is about 55964.2933753300. The cubic root of 3132002133 is about 1463.1000204624.

Adding to 3132002133 its reverse (3312002313), we get a palindrome (6444004446).

The spelling of 3132002133 in words is "three billion, one hundred thirty-two million, two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 228797 686391 2059173 2974361 6177519 8923083 18532557 26769249 38666693 80307747 116000079 240923241 348000237 1044000711 3132002133