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300212213320 = 23517997442817
BaseRepresentation
bin1000101111001100000…
…10101101011001001000
31001200220022020120200201
410113212002231121020
514404313311311240
6345525433341544
730455352465145
oct4274602553110
91050808216621
10300212213320
11106356a71308
124a2245678b4
1322404aa1016
141075d3c33cc
157c2112bd9a
hex45e60ad648

300212213320 has 64 divisors (see below), whose sum is σ = 715930429680. Its totient is φ = 112907452416.

The previous prime is 300212213291. The next prime is 300212213359. The reversal of 300212213320 is 23312212003.

It can be written as a sum of positive squares in 8 ways, for example, as 200458571076 + 99753642244 = 447726^2 + 315838^2 .

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, 456552 + ... + 899368.

Almost surely, 2300212213320 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 300212213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357965214840).

300212213320 is an abundant number, since it is smaller than the sum of its proper divisors (415718216360).

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

300212213320 is a wasteful number, since it uses less digits than its factorization.

300212213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443842 (or 443838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 300212213320 its reverse (23312212003), we get a palindrome (323524425323).

The spelling of 300212213320 in words is "three hundred billion, two hundred twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 997 1994 3988 4985 7976 9970 16949 19940 33898 39880 67796 84745 135592 169490 338980 442817 677960 885634 1771268 2214085 3542536 4428170 7527889 8856340 15055778 17712680 30111556 37639445 60223112 75278890 150557780 301115560 441488549 882977098 1765954196 2207442745 3531908392 4414885490 7505305333 8829770980 15010610666 17659541960 30021221332 37526526665 60042442664 75053053330 150106106660 300212213320