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30211422320 = 2458334913037
BaseRepresentation
bin11100001000101111…
…011011100001110000
32212222111010021021102
4130020233123201300
5443333111003240
621513503343532
72116444565312
oct341057334160
985874107242
1030211422320
11118a3618822
125a318b1ba8
132b0611b471
1416685617b2
15bbc48c815
hex708bdb870

30211422320 has 80 divisors (see below), whose sum is σ = 71296999200. Its totient is φ = 11903849472.

The previous prime is 30211422271. The next prime is 30211422337. The reversal of 30211422320 is 2322411203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30211422292 and 30211422301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310842 + ... + 2323878.

It is an arithmetic number, because the mean of its divisors is an integer number (891212490).

Almost surely, 230211422320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30211422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35648499600).

30211422320 is an abundant number, since it is smaller than the sum of its proper divisors (41085576880).

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

30211422320 is a wasteful number, since it uses less digits than its factorization.

30211422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13482 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30211422320 its reverse (2322411203), we get a palindrome (32533833523).

The spelling of 30211422320 in words is "thirty billion, two hundred eleven million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 349 415 664 698 830 1328 1396 1660 1745 2792 3320 3490 5584 6640 6980 13037 13960 26074 27920 28967 52148 57934 65185 104296 115868 130370 144835 208592 231736 260740 289670 463472 521480 579340 1042960 1082071 1158680 2164142 2317360 4328284 4549913 5410355 8656568 9099826 10820710 17313136 18199652 21641420 22749565 36399304 43282840 45499130 72798608 86565680 90998260 181996520 363993040 377642779 755285558 1510571116 1888213895 3021142232 3776427790 6042284464 7552855580 15105711160 30211422320