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204220131010020 = 223251151985713539
BaseRepresentation
bin101110011011110010110100…
…010111010110010111100100
3222210002020212001122201012200
4232123302310113112113210
5203231420312014310040
62002201233311014500
761005263140120146
oct5633626427262744
9883066761581180
10204220131010020
115a0862a8a46984
121aaa329080a430
1389c4b4cc61818
1438604428b0c96
15189237a9b7630
hexb9bcb45d65e4

204220131010020 has 72 divisors (see below), whose sum is σ = 620005930951680. Its totient is φ = 54411387297600.

The previous prime is 204220131010019. The next prime is 204220131010039. The reversal of 204220131010020 is 20010131022402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204220131009975 and 204220131010002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492649590 + ... + 493063949.

It is an arithmetic number, because the mean of its divisors is an integer number (8611193485440).

Almost surely, 2204220131010020 is an apocalyptic number.

204220131010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204220131010020 is an abundant number, since it is smaller than the sum of its proper divisors (415785799941660).

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

204220131010020 is a wasteful number, since it uses less digits than its factorization.

204220131010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985714705 (or 985714700 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 204220131010020 its reverse (20010131022402), we get a palindrome (224230262032422).

The spelling of 204220131010020 in words is "two hundred four trillion, two hundred twenty billion, one hundred thirty-one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1151 2302 3453 4604 5755 6906 10359 11510 13812 17265 20718 23020 34530 41436 51795 69060 103590 207180 985713539 1971427078 2957140617 3942854156 4928567695 5914281234 8871421851 9857135390 11828562468 14785703085 17742843702 19714270780 29571406170 35485687404 44357109255 59142812340 88714218510 177428437020 1134556283389 2269112566778 3403668850167 4538225133556 5672781416945 6807337700334 10211006550501 11345562833890 13614675400668 17018344250835 20422013101002 22691125667780 34036688501670 40844026202004 51055032752505 68073377003340 102110065505010 204220131010020