Search a number
-
+
34243013013 = 311311073071019
BaseRepresentation
bin11111111001000010…
…101110100110010101
310021101110021022000020
4133321002232212111
51030112202404023
623421522335353
72321400544116
oct377102564625
9107343238006
1034243013013
1113582319560
126777aba559
1332c9450ba1
14192bb7a20d
15d563a2de3
hex7f90ae995

34243013013 has 64 divisors (see below), whose sum is σ = 52115374080. Its totient is φ = 19811908800.

The previous prime is 34243012967. The next prime is 34243013023. The reversal of 34243013013 is 31031034243.

It is not a de Polignac number, because 34243013013 - 28 = 34243012757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243013023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33604018 + ... + 33605036.

It is an arithmetic number, because the mean of its divisors is an integer number (814302720).

Almost surely, 234243013013 is an apocalyptic number.

34243013013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34243013013 is a deficient number, since it is larger than the sum of its proper divisors (17872361067).

34243013013 is a wasteful number, since it uses less digits than its factorization.

34243013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34243013013 its reverse (31031034243), we get a palindrome (65274047256).

The spelling of 34243013013 in words is "thirty-four billion, two hundred forty-three million, thirteen thousand, thirteen".

Divisors: 1 3 11 31 33 93 107 307 321 341 921 1019 1023 1177 3057 3317 3377 3531 9517 9951 10131 11209 28551 31589 32849 33627 36487 94767 98547 104687 109033 109461 312833 314061 327099 347479 361339 938499 1018319 1042437 1084017 1199363 3054957 3380023 3441163 3598089 9697823 10140069 10323489 11201509 29093469 33473131 33604527 37180253 100419393 106676053 111540759 320028159 368204441 1037667061 1104613323 3113001183 11414337671 34243013013