Search a number
-
+
132124310031289 is a prime number
BaseRepresentation
bin11110000010101010010110…
…100100001100101110111001
3122022210221221100010000122211
4132002222112210030232321
5114304211041332000124
61145001023050215121
736554444400065032
oct3602522644145671
9568727840100584
10132124310031289
113910a6725a2464
121299a6b01244a1
135895365c25c94
14248abca56da89
151041ccaae2e94
hex782a9690cbb9

132124310031289 has 2 divisors, whose sum is σ = 132124310031290. Its totient is φ = 132124310031288.

The previous prime is 132124310031281. The next prime is 132124310031341. The reversal of 132124310031289 is 982130013421231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131667982760889 + 456327270400 = 11474667^2 + 675520^2 .

It is a cyclic number.

It is not a de Polignac number, because 132124310031289 - 23 = 132124310031281 is a prime.

It is not a weakly prime, because it can be changed into another prime (132124310031281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66062155015644 + 66062155015645.

It is an arithmetic number, because the mean of its divisors is an integer number (66062155015645).

Almost surely, 2132124310031289 is an apocalyptic number.

It is an amenable number.

132124310031289 is a deficient number, since it is larger than the sum of its proper divisors (1).

132124310031289 is an equidigital number, since it uses as much as digits as its factorization.

132124310031289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 132124310031289 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred ten million, thirty-one thousand, two hundred eighty-nine".