Search a number
-
+
30104011320 = 2335594998521
BaseRepresentation
bin11100000010010101…
…101100001000111000
32212201000000020002020
4130002111230020320
5443123111330240
621455105234440
72114001605565
oct340225541070
985630006066
1030104011320
1111848a252a9
125a01932a20
132ab9ab1666
1416581a186c
15bb2d220d0
hex70256c238

30104011320 has 128 divisors (see below), whose sum is σ = 92037600000. Its totient is φ = 7874933760.

The previous prime is 30104011307. The next prime is 30104011337. The reversal of 30104011320 is 2311040103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30104011320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3528660 + ... + 3537180.

It is an arithmetic number, because the mean of its divisors is an integer number (719043750).

Almost surely, 230104011320 is an apocalyptic number.

30104011320 is a gapful number since it is divisible by the number (30) 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 30104011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46018800000).

30104011320 is an abundant number, since it is smaller than the sum of its proper divisors (61933588680).

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

30104011320 is a wasteful number, since it uses less digits than its factorization.

30104011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30104011320 its reverse (2311040103), we get a palindrome (32415051423).

It can be divided in two parts, 30 and 104011320, that multiplied together give a square (3120339600 = 558602).

The spelling of 30104011320 in words is "thirty billion, one hundred four million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 499 590 708 885 998 1180 1416 1497 1770 1996 2360 2495 2994 3540 3992 4990 5988 7080 7485 8521 9980 11976 14970 17042 19960 25563 29441 29940 34084 42605 51126 58882 59880 68168 85210 88323 102252 117764 127815 147205 170420 176646 204504 235528 255630 294410 340840 353292 441615 502739 511260 588820 706584 883230 1005478 1022520 1177640 1508217 1766460 2010956 2513695 3016434 3532920 4021912 4251979 5027390 6032868 7541085 8503958 10054780 12065736 12755937 15082170 17007916 20109560 21259895 25511874 30164340 34015832 42519790 51023748 60328680 63779685 85039580 102047496 127559370 170079160 250866761 255118740 501733522 510237480 752600283 1003467044 1254333805 1505200566 2006934088 2508667610 3010401132 3763001415 5017335220 6020802264 7526002830 10034670440 15052005660 30104011320