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30312323200 = 275210391967
BaseRepresentation
bin11100001110110000…
…010101100010000000
32220020111222120021001
4130032300111202000
5444034423320300
621531510141344
72122111332055
oct341660254200
986214876231
1030312323200
1111945575085
125a5b651854
132b20cb9023
141677b0902c
15bc626e16a
hex70ec15880

30312323200 has 96 divisors (see below), whose sum is σ = 75608732160. Its totient is φ = 12007080960.

The previous prime is 30312323137. The next prime is 30312323203. The reversal of 30312323200 is 232321303.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30312323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283617 + ... + 375583.

It is an arithmetic number, because the mean of its divisors is an integer number (787590960).

Almost surely, 230312323200 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 30312323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37804366080).

30312323200 is an abundant number, since it is smaller than the sum of its proper divisors (45296408960).

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

30312323200 is a wasteful number, since it uses less digits than its factorization.

30312323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92094 (or 92077 counting only the distinct ones).

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

Adding to 30312323200 its reverse (232321303), we get a palindrome (30544644503).

The spelling of 30312323200 in words is "thirty billion, three hundred twelve million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 128 160 200 206 320 400 412 515 640 800 824 1030 1600 1648 2060 2575 3200 3296 4120 5150 6592 8240 10300 13184 16480 20600 32960 41200 65920 82400 91967 164800 183934 329600 367868 459835 735736 919670 1471472 1839340 2299175 2942944 3678680 4598350 5885888 7357360 9196700 9472601 11771776 14714720 18393400 18945202 29429440 36786800 37890404 47363005 58858880 73573600 75780808 94726010 147147200 151561616 189452020 236815025 294294400 303123232 378904040 473630050 606246464 757808080 947260100 1212492928 1515616160 1894520200 3031232320 3789040400 6062464640 7578080800 15156161600 30312323200