Search a number
-
+
132130323031 = 7171383180279
BaseRepresentation
bin111101100001110010…
…1001011101001010111
3110122001101111212102211
41323003211023221113
54131100330314111
6140411055214251
712355212133450
oct1730345135127
9418041455384
10132130323031
1151044139383
1221736217387
13c5c934b6c5
1465763aa127
153684dba521
hex1ec394ba57

132130323031 has 16 divisors (see below), whose sum is σ = 159902346240. Its totient is φ = 106583495040.

The previous prime is 132130323029. The next prime is 132130323037. The reversal of 132130323031 is 130323031231.

It is a cyclic number.

It is not a de Polignac number, because 132130323031 - 21 = 132130323029 is a prime.

It is a super-3 number, since 3×1321303230313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132130322993 and 132130323011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130323037) 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, 1605750 + ... + 1686028.

It is an arithmetic number, because the mean of its divisors is an integer number (9993896640).

Almost surely, 2132130323031 is an apocalyptic number.

132130323031 is a deficient number, since it is larger than the sum of its proper divisors (27772023209).

132130323031 is a wasteful number, since it uses less digits than its factorization.

132130323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94134.

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

Adding to 132130323031 its reverse (130323031231), we get a palindrome (262453354262).

The spelling of 132130323031 in words is "one hundred thirty-two billion, one hundred thirty million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 7 17 119 13831 80279 96817 235127 561953 1364743 1645889 9553201 1110338849 7772371943 18875760433 132130323031