Search a number
-
+
30122332300 = 22521759929581
BaseRepresentation
bin11100000011011011…
…100101000010001100
32212202021111000202001
4130003123211002030
5443142304113200
621501002042044
72114313412534
oct340333450214
985667430661
1030122332300
11118582a9105
125a07aa9324
132ac0827788
14165a7b04c4
15bb474076a
hex7036e508c

30122332300 has 72 divisors (see below), whose sum is σ = 69328375200. Its totient is φ = 11320857600.

The previous prime is 30122332291. The next prime is 30122332319. The reversal of 30122332300 is 323322103.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003510 + ... + 1033090.

It is an arithmetic number, because the mean of its divisors is an integer number (962894100).

Almost surely, 230122332300 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 30122332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664187600).

30122332300 is an abundant number, since it is smaller than the sum of its proper divisors (39206042900).

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

30122332300 is a wasteful number, since it uses less digits than its factorization.

30122332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30211 (or 30204 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 30122332300 its reverse (323322103), we get a palindrome (30445654403).

The spelling of 30122332300 in words is "thirty billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 599 850 1198 1700 2396 2995 5990 10183 11980 14975 20366 29581 29950 40732 50915 59162 59900 101830 118324 147905 203660 254575 295810 502877 509150 591620 739525 1005754 1018300 1479050 2011508 2514385 2958100 5028770 10057540 12571925 17719019 25143850 35438038 50287700 70876076 88595095 177190190 301223323 354380380 442975475 602446646 885950950 1204893292 1506116615 1771901900 3012233230 6024466460 7530583075 15061166150 30122332300