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30311342300 = 225229101239433
BaseRepresentation
bin11100001110101100…
…100110000011011100
32220020110010201201102
4130032230212003130
5444034200423200
621531433132232
72122100105231
oct341654460334
986213121642
1030311342300
1111944a65118
125a5b25a078
132b20a34705
141677931788
15bc61286d5
hex70eb260dc

30311342300 has 144 divisors (see below), whose sum is σ = 69164323200. Its totient is φ = 11515392000.

The previous prime is 30311342273. The next prime is 30311342359. The reversal of 30311342300 is 324311303.

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

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 47 ways as a sum of consecutive naturals, for example, 70002884 + ... + 70003316.

It is an arithmetic number, because the mean of its divisors is an integer number (480307800).

Almost surely, 230311342300 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 30311342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34582161600).

30311342300 is an abundant number, since it is smaller than the sum of its proper divisors (38852980900).

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

30311342300 is a wasteful number, since it uses less digits than its factorization.

30311342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30311342300 its reverse (324311303), we get a palindrome (30635653603).

The spelling of 30311342300 in words is "thirty billion, three hundred eleven million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 116 145 202 239 290 404 433 478 505 580 725 866 956 1010 1195 1450 1732 2020 2165 2390 2525 2900 2929 4330 4780 5050 5858 5975 6931 8660 10100 10825 11716 11950 12557 13862 14645 21650 23900 24139 25114 27724 29290 34655 43300 43733 48278 50228 58580 62785 69310 73225 87466 96556 103487 120695 125570 138620 146450 173275 174932 206974 218665 241390 251140 292900 313925 346550 413948 437330 482780 517435 603475 627850 693100 700031 874660 1034870 1093325 1206950 1255700 1268257 1400062 2069740 2186650 2413900 2536514 2587175 2800124 3001123 3500155 4373300 5073028 5174350 6002246 6341285 7000310 10348700 10452187 12004492 12682570 14000620 15005615 17500775 20904374 25365140 30011230 31706425 35001550 41808748 52260935 60022460 63412850 70003100 75028075 104521870 126825700 150056150 209043740 261304675 300112300 303113423 522609350 606226846 1045218700 1212453692 1515567115 3031134230 6062268460 7577835575 15155671150 30311342300