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30031311100 = 22527222072777
BaseRepresentation
bin11011111110000000…
…010111000011111100
32212111221012200010111
4123332000113003330
5443001003423400
621443551115404
72112126634600
oct337600270374
985457180114
1030031311100
111181098a57a
1259a1512b64
132aa7a08a8b
14164c679500
15bab7613ba
hex6fe0170fc

30031311100 has 108 divisors (see below), whose sum is σ = 75869269056. Its totient is φ = 10288078080.

The previous prime is 30031311097. The next prime is 30031311119. The reversal of 30031311100 is 111313003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10812912 + ... + 10815688.

It is an arithmetic number, because the mean of its divisors is an integer number (702493232).

Almost surely, 230031311100 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 30031311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37934634528).

30031311100 is an abundant number, since it is smaller than the sum of its proper divisors (45837957956).

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

30031311100 is a wasteful number, since it uses less digits than its factorization.

30031311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 30031311100 its reverse (111313003), we get a palindrome (30142624103).

The spelling of 30031311100 in words is "thirty billion, thirty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2207 2450 2777 4414 4900 5554 8828 11035 11108 13885 15449 19439 22070 27770 30898 38878 44140 55175 55540 61796 69425 77245 77756 97195 108143 110350 136073 138850 154490 194390 216286 220700 272146 277700 308980 386225 388780 432572 485975 540715 544292 680365 772450 971950 1081430 1360730 1544900 1943900 2162860 2703575 2721460 3401825 5407150 6128839 6803650 10814300 12257678 13607300 24515356 30644195 42901873 61288390 85803746 122576780 153220975 171607492 214509365 300313111 306441950 429018730 600626222 612883900 858037460 1072546825 1201252444 1501565555 2145093650 3003131110 4290187300 6006262220 7507827775 15015655550 30031311100