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202001200001010 = 232541222124647849
BaseRepresentation
bin101101111011100000010001…
…110001010010111111110010
3222111020010101221111021110100
4231323200101301102333302
5202434041424200013020
61553342023054413230
760356051021544024
oct5573402161227762
9874203357437410
10202001200001010
1159400256270703
121a7a5229201216
138893829318007
1437c4ca5a04014
1518547ac5a7a90
hexb7b811c52ff2

202001200001010 has 96 divisors (see below), whose sum is σ = 538255213095600. Its totient is φ = 52529493657600.

The previous prime is 202001200000931. The next prime is 202001200001093. The reversal of 202001200001010 is 10100002100202.

It can be written as a sum of positive squares in 8 ways, for example, as 33021193409649 + 168980006591361 = 5746407^2 + 12999231^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202001200000983 and 202001200001001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4128435 + ... + 20519414.

Almost surely, 2202001200001010 is an apocalyptic number.

202001200001010 is an abundant number, since it is smaller than the sum of its proper divisors (336254013094590).

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

202001200001010 is a wasteful number, since it uses less digits than its factorization.

202001200001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24650124 (or 24650121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202001200001010 its reverse (10100002100202), we get a palindrome (212101202101212).

The spelling of 202001200001010 in words is "two hundred two trillion, one billion, two hundred million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 2221 3690 4442 6663 11105 13326 19989 22210 33315 39978 66630 91061 99945 182122 199890 273183 455305 546366 819549 910610 1365915 1639098 2731830 4097745 8195490 24647849 49295698 73943547 123239245 147887094 221830641 246478490 369717735 443661282 739435470 1010561809 1109153205 2021123618 2218306410 3031685427 5052809045 6063370854 9095056281 10105618090 15158427135 18190112562 30316854270 45475281405 54742872629 90950562810 109485745258 164228617887 273714363145 328457235774 492685853661 547428726290 821143089435 985371707322 1642286178870 2244457777789 2463429268305 4488915555578 4926858536610 6733373333367 11222288888945 13466746666734 20200120000101 22444577777890 33666866666835 40400240000202 67333733333670 101000600000505 202001200001010