Search a number
-
+
30205235541 = 3131989458009
BaseRepresentation
bin11100001000010111…
…110101000101010101
32212222001110221121110
4130020113311011111
5443330020014131
621513123005233
72116341160125
oct341027650525
985861427543
1030205235541
11118a0082588
125a2b809819
132b04a63450
1416677d0c85
15bbbb69646
hex7085f5155

30205235541 has 32 divisors (see below), whose sum is σ = 46167408000. Its totient is φ = 17411632128.

The previous prime is 30205235531. The next prime is 30205235551. The reversal of 30205235541 is 14553250203.

It is an interprime number because it is at equal distance from previous prime (30205235531) and next prime (30205235551).

It is not a de Polignac number, because 30205235541 - 211 = 30205233493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30205235499 and 30205235508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30205235531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163056 + ... + 294953.

It is an arithmetic number, because the mean of its divisors is an integer number (1442731500).

Almost surely, 230205235541 is an apocalyptic number.

It is an amenable number.

30205235541 is a deficient number, since it is larger than the sum of its proper divisors (15962172459).

30205235541 is a wasteful number, since it uses less digits than its factorization.

30205235541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458133.

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 30205235541 its reverse (14553250203), we get a palindrome (44758485744).

The spelling of 30205235541 in words is "thirty billion, two hundred five million, two hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 3 13 19 39 57 89 247 267 741 1157 1691 3471 5073 21983 65949 458009 1374027 5954117 8702171 17862351 26106513 40762801 113128223 122288403 339384669 529916413 774493219 1589749239 2323479657 10068411847 30205235541