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10202201020020 = 22354110340264429
BaseRepresentation
bin1001010001110110001010…
…0100010101011001110100
31100010022122221010100011210
42110131202210111121310
52314123101430120040
633410454302401420
72102041023556302
oct224354244253164
940108587110153
1010202201020020
113283802561129
121189308590270
135900a94753b9
14273b09675272
1512a5b1736480
hex94762915674

10202201020020 has 96 divisors (see below), whose sum is σ = 29547005080320. Its totient is φ = 2628461859840.

The previous prime is 10202201020009. The next prime is 10202201020021. The reversal of 10202201020020 is 2002010220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10202201019978 and 10202201020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202201020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19878835 + ... + 20385594.

It is an arithmetic number, because the mean of its divisors is an integer number (307781302920).

Almost surely, 210202201020020 is an apocalyptic number.

10202201020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202201020020 is an abundant number, since it is smaller than the sum of its proper divisors (19344804060300).

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

10202201020020 is a wasteful number, since it uses less digits than its factorization.

10202201020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40264585 (or 40264583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202201020020 its reverse (2002010220201), we get a palindrome (12204211240221).

The spelling of 10202201020020 in words is "ten trillion, two hundred two billion, two hundred one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 103 123 164 205 206 246 309 410 412 492 515 615 618 820 1030 1230 1236 1545 2060 2460 3090 4223 6180 8446 12669 16892 21115 25338 42230 50676 63345 84460 126690 253380 40264429 80528858 120793287 161057716 201322145 241586574 402644290 483173148 603966435 805288580 1207932870 1650841589 2415865740 3301683178 4147236187 4952524767 6603366356 8254207945 8294472374 9905049534 12441708561 16508415890 16588944748 19810099068 20736180935 24762623835 24883417122 33016831780 41472361870 49525247670 49766834244 62208542805 82944723740 99050495340 124417085610 170036683667 248834171220 340073367334 510110051001 680146734668 850183418335 1020220102002 1700366836670 2040440204004 2550550255005 3400733673340 5101100510010 10202201020020