Search a number
-
+
11012340000441 = 31318136711093833
BaseRepresentation
bin1010000001000000001010…
…0111010010011010111001
31102222202202220112122120210
42200100002213102122321
52420411233020003231
635230555452341333
72214421023356103
oct240200247223271
942882686478523
1011012340000441
11356634192598a
12129a322474849
1361b5c7b50470
142a10003ba573
151416c9bdaa46
hexa04029d26b9

11012340000441 has 64 divisors (see below), whose sum is σ = 15961816765440. Its totient is φ = 6713207838720.

The previous prime is 11012340000439. The next prime is 11012340000443. The reversal of 11012340000441 is 14400004321011.

It is an interprime number because it is at equal distance from previous prime (11012340000439) and next prime (11012340000443).

It is not a de Polignac number, because 11012340000441 - 21 = 11012340000439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012340000443) 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 63 ways as a sum of consecutive naturals, for example, 2873032261 + ... + 2873036093.

It is an arithmetic number, because the mean of its divisors is an integer number (249403386960).

Almost surely, 211012340000441 is an apocalyptic number.

It is an amenable number.

11012340000441 is a deficient number, since it is larger than the sum of its proper divisors (4949476764999).

11012340000441 is a wasteful number, since it uses less digits than its factorization.

11012340000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11012340000441 its reverse (14400004321011), we get a palindrome (25412344321452).

The spelling of 11012340000441 in words is "eleven trillion, twelve billion, three hundred forty million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 3 13 39 181 367 543 1101 1109 2353 3327 3833 4771 7059 11499 14313 14417 43251 49829 66427 149487 199281 200729 407003 602187 693773 863551 1221009 1406711 2081319 2590653 2609477 4220133 4250797 5291039 7828431 9019049 12752391 15873117 18287243 27057147 54861729 55260361 73667543 165781083 221002629 254614691 763844073 769394257 957678059 1560042499 2308182771 2873034177 3309990983 4680127497 9929972949 10002125341 20280552487 30006376023 60841657461 282367692319 847103076957 3670780000147 11012340000441