Search a number
-
+
30104216505 = 32511175367499
BaseRepresentation
bin11100000010010110…
…011110001110111001
32212201000101122112200
4130002112132032321
5443123134412010
621455113500413
72114003422026
oct340226361671
985630348480
1030104216505
1111849055480
125a01a11709
132ab9b53b7c
14165821654d
15bb2d62cc0
hex70259e3b9

30104216505 has 96 divisors (see below), whose sum is σ = 61410960000. Its totient is φ = 13478000640.

The previous prime is 30104216497. The next prime is 30104216507. The reversal of 30104216505 is 50561240103.

30104216505 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 4 + 2 + 1 + 650 + 5 = 666.

It is not a de Polignac number, because 30104216505 - 23 = 30104216497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30104216507) 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, 412246 + ... + 479744.

It is an arithmetic number, because the mean of its divisors is an integer number (639697500).

Almost surely, 230104216505 is an apocalyptic number.

It is an amenable number.

30104216505 is an abundant number, since it is smaller than the sum of its proper divisors (31306743495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30104216505 is a wasteful number, since it uses less digits than its factorization.

30104216505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67591 (or 67588 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 30104216505 its reverse (50561240103), we get a palindrome (80665456608).

The spelling of 30104216505 in words is "thirty billion, one hundred four million, two hundred sixteen thousand, five hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 53 55 85 99 153 159 165 187 255 265 477 495 561 583 765 795 901 935 1683 1749 2385 2703 2805 2915 4505 5247 8109 8415 8745 9911 13515 26235 29733 40545 49555 67499 89199 148665 202497 337495 445995 607491 742489 1012485 1147483 2227467 3037455 3442449 3577447 3712445 5737415 6682401 10327347 10732341 11137335 12622313 17212245 17887235 32197023 33412005 37866939 39351917 51636735 53661705 60816599 63111565 113600817 118055751 160985115 182449797 189334695 196759585 304082995 354167253 547349391 568004085 590278755 668982589 912248985 1770836265 2006947767 2736746955 3344912945 6020843301 10034738835 30104216505