Search a number
-
+
30030110432 = 2571916994153
BaseRepresentation
bin11011111101111011…
…110001111011100000
32212111211221200010022
4123331323301323200
5443000202013212
621443505253012
72112113504240
oct337573617340
985454850108
1030030110432
111181023a493
1259a1034168
132aa76a841a
14164c445b20
15bab5c5772
hex6fdef1ee0

30030110432 has 96 divisors (see below), whose sum is σ = 71182944000. Its totient is φ = 12182565888.

The previous prime is 30030110431. The next prime is 30030110437. The reversal of 30030110432 is 23401103003.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30030110432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30030110431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7228868 + ... + 7233020.

It is an arithmetic number, because the mean of its divisors is an integer number (741489000).

Almost surely, 230030110432 is an apocalyptic number.

30030110432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30030110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35591472000).

30030110432 is an abundant number, since it is smaller than the sum of its proper divisors (41152833568).

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

30030110432 is a wasteful number, since it uses less digits than its factorization.

30030110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 30030110432 its reverse (23401103003), we get a palindrome (53431213435).

The spelling of 30030110432 in words is "thirty billion, thirty million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 1699 2128 3398 4153 4256 6796 8306 11893 13592 16612 23786 27184 29071 32281 33224 47572 54368 58142 64562 66448 78907 95144 116284 129124 132896 157814 190288 225967 232568 258248 315628 380576 451934 465136 516496 552349 631256 903868 930272 1032992 1104698 1262512 1807736 2209396 2525024 3615472 4418792 7055947 7230944 8837584 14111894 17675168 28223788 49391629 56447576 98783258 112895152 134062993 197566516 225790304 268125986 395133032 536251972 790266064 938440951 1072503944 1580532128 1876881902 2145007888 3753763804 4290015776 7507527608 15015055216 30030110432