Search a number
-
+
3132213133 = 7237253881
BaseRepresentation
bin1011101010110001…
…1100011110001101
322002021210220122211
42322230130132031
522403321310013
61234450110421
7140422241500
oct27254343615
98067726584
103132213133
1113680640a5
12734b7b411
133abbc646a
14219dc1137
15134ead23d
hexbab1c78d

3132213133 has 36 divisors (see below), whose sum is σ = 3819717972. Its totient is φ = 2559997440.

The previous prime is 3132213109. The next prime is 3132213143. The reversal of 3132213133 is 3313122313.

It can be written as a sum of positive squares in 6 ways, for example, as 459116329 + 2673096804 = 21427^2 + 51702^2 .

It is not a de Polignac number, because 3132213133 - 25 = 3132213101 is a prime.

It is a super-2 number, since 2×31322131332 = 19621518221075351378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132213143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3554853 + ... + 3555733.

It is an arithmetic number, because the mean of its divisors is an integer number (106103277).

Almost surely, 23132213133 is an apocalyptic number.

It is an amenable number.

3132213133 is a deficient number, since it is larger than the sum of its proper divisors (687504839).

3132213133 is an equidigital number, since it uses as much as digits as its factorization.

3132213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 978 counting only the distinct ones).

The product of its digits is 972, while the sum is 22.

The square root of 3132213133 is about 55966.1784741463. The cubic root of 3132213133 is about 1463.1328756094.

Adding to 3132213133 its reverse (3313122313), we get a palindrome (6445335446).

The spelling of 3132213133 in words is "three billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 7 37 49 53 259 371 881 1369 1813 1961 2597 6167 9583 13727 32597 43169 46693 67081 72557 96089 228179 326851 507899 1206089 1597253 1727641 2287957 3555293 8442623 12093487 59098361 63922717 84654409 447459019 3132213133