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305422010000 = 2454136122441
BaseRepresentation
bin1000111000111001001…
…00100000011010010000
31002012100101101200012022
410130130210200122100
520001001013310000
6352150421351012
731031433151562
oct4343444403220
91065311350168
10305422010000
1110858a8426a8
124b239268468
1322a55237053
1410ad5297332
157e286c5585
hex471c920690

305422010000 has 100 divisors (see below), whose sum is σ = 740033522844. Its totient is φ = 122073600000.

The previous prime is 305422009957. The next prime is 305422010009. The reversal of 305422010000 is 10224503.

It can be written as a sum of positive squares in 10 ways, for example, as 305318133136 + 103876864 = 552556^2 + 10192^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (305422010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13598780 + ... + 13621220.

Almost surely, 2305422010000 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 305422010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370016761422).

305422010000 is an abundant number, since it is smaller than the sum of its proper divisors (434611512844).

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

305422010000 is a wasteful number, since it uses less digits than its factorization.

305422010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23830 (or 23809 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 305422010000 its reverse (10224503), we get a palindrome (305432234503).

The spelling of 305422010000 in words is "three hundred five billion, four hundred twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1361 2000 2500 2722 5000 5444 6805 10000 10888 13610 21776 22441 27220 34025 44882 54440 68050 89764 108880 112205 136100 170125 179528 224410 272200 340250 359056 448820 544400 561025 680500 850625 897640 1122050 1361000 1701250 1795280 2244100 2722000 2805125 3402500 4488200 5610250 6805000 8976400 11220500 13610000 14025625 22441000 28051250 30542201 44882000 56102500 61084402 112205000 122168804 152711005 224410000 244337608 305422010 488675216 610844020 763555025 1221688040 1527110050 2443376080 3054220100 3817775125 6108440200 7635550250 12216880400 15271100500 19088875625 30542201000 38177751250 61084402000 76355502500 152711005000 305422010000