Search a number
-
+
30330233232013 = 11131726716676571
BaseRepresentation
bin1101110010101110011101…
…10001110001101010001101
310222101112122002210002210001
412321113032301301222031
512433412304201411023
6144301303343244301
76250200311504251
oct671271661615215
9128345562702701
1030330233232013
119733a85a52010
12349a2518a9691
1313c0189a54350
1476bdc38ca261
15378e5b7d26ad
hex1b95cec71a8d

30330233232013 has 96 divisors (see below), whose sum is σ = 38445912304128. Its totient is φ = 23579492428800.

The previous prime is 30330233232007. The next prime is 30330233232041. The reversal of 30330233232013 is 31023233203303.

It is not a de Polignac number, because 30330233232013 - 25 = 30330233231981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30330233232043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4615768018 + ... + 4615774588.

It is an arithmetic number, because the mean of its divisors is an integer number (400478253168).

Almost surely, 230330233232013 is an apocalyptic number.

It is an amenable number.

30330233232013 is a deficient number, since it is larger than the sum of its proper divisors (8115679072115).

30330233232013 is a wasteful number, since it uses less digits than its factorization.

30330233232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 30330233232013 its reverse (31023233203303), we get a palindrome (61353466435316).

The spelling of 30330233232013 in words is "thirty trillion, three hundred thirty billion, two hundred thirty-three million, two hundred thirty-two thousand, thirteen".

Divisors: 1 11 13 17 67 143 187 221 289 737 871 1139 1667 2431 3179 3757 6571 9581 12529 14807 18337 19363 21671 28339 41327 72281 85423 111689 111707 162877 212993 238381 251719 311729 368407 440257 481763 939653 1228579 1228777 1451957 1452191 1898713 1899019 2768909 4052477 4842827 5299393 5723341 6262919 7484369 10953857 15971527 15974101 20885843 20889209 24683269 24687247 32278121 62956751 68892109 82328059 97296797 120492427 127234273 142400141 186215569 271515959 271559717 355059331 419615573 733908419 1070264767 1399577003 1566401551 1654045549 2048371259 2420802397 3165664673 4615771303 8072992609 9540809447 12476443123 18194501039 26628826367 34822311403 41153640749 104948903917 137240874353 162193760599 212099533091 452690048239 1784131366589 2333094864001 2757293930183 30330233232013