Search a number
-
+
13322300023125 = 33541017816531
BaseRepresentation
bin1100000111011101011011…
…1101011110000101010101
31202011121011222212002212000
43001313112331132011111
53221233032301220000
644200102524345513
72543335004526522
oct301672675360525
952147158762760
1013322300023125
114276a57062475
1215b1b4b3a5299
13758397844482
14340b34ac6149
1518182498a000
hexc1dd6f5e155

13322300023125 has 80 divisors (see below), whose sum is σ = 24907222887360. Its totient is φ = 7034877000000.

The previous prime is 13322300023117. The next prime is 13322300023129. The reversal of 13322300023125 is 52132000322331.

It is a happy number.

13322300023125 is a `hidden beast` number, since 1 + 3 + 322 + 300 + 0 + 2 + 31 + 2 + 5 = 666.

It is not a de Polignac number, because 13322300023125 - 23 = 13322300023117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322300023129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2203891 + ... + 5612640.

It is an arithmetic number, because the mean of its divisors is an integer number (311340286092).

Almost surely, 213322300023125 is an apocalyptic number.

13322300023125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13322300023125 is a deficient number, since it is larger than the sum of its proper divisors (11584922864235).

13322300023125 is an equidigital number, since it uses as much as digits as its factorization.

13322300023125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816661 (or 7816640 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13322300023125 its reverse (52132000322331), we get a palindrome (65454300345456).

The spelling of 13322300023125 in words is "thirteen trillion, three hundred twenty-two billion, three hundred million, twenty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 101 125 135 225 303 375 505 625 675 909 1125 1515 1875 2525 2727 3375 4545 5625 7575 12625 13635 16875 22725 37875 63125 68175 113625 189375 340875 568125 1704375 7816531 23449593 39082655 70348779 117247965 195413275 211046337 351743895 586239825 789469631 977066375 1055231685 1758719475 2368408893 2931199125 3947348155 4885331875 5276158425 7105226679 8793597375 11842044465 14655995625 19736740775 21315680037 26380792125 35526133395 43967986875 59210222325 98683703875 106578400185 131903960625 177630666975 296051111625 493418519375 532892000925 888153334875 1480255558125 2664460004625 4440766674375 13322300023125