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201010102010200 = 235272139147562841
BaseRepresentation
bin101101101101000101001111…
…101110100000000101011000
3222100201101012121202202212101
4231231011033232200011120
5202321322142103311300
61551302433245053144
760224333466612400
oct5555051756400530
9870641177682771
10201010102010200
11590589a6297aaa
121a6651305571b4
13882122c410642
14378cd25985800
151838b02613b6a
hexb6d14fba0158

201010102010200 has 144 divisors (see below), whose sum is σ = 547561437809400. Its totient is φ = 68421937651200.

The previous prime is 201010102010189. The next prime is 201010102010213. The reversal of 201010102010200 is 2010201010102.

It is a super-2 number, since 2×2010101020102002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72419221 + ... + 75143620.

Almost surely, 2201010102010200 is an apocalyptic number.

201010102010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010102010200 is an abundant number, since it is smaller than the sum of its proper divisors (346551335799200).

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

201010102010200 is a wasteful number, since it uses less digits than its factorization.

201010102010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147563010 (or 147562994 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201010102010200 its reverse (2010201010102), we get a palindrome (203020303020302).

The spelling of 201010102010200 in words is "two hundred one trillion, ten billion, one hundred two million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 139 140 175 196 200 245 278 280 350 392 490 556 695 700 973 980 1112 1225 1390 1400 1946 1960 2450 2780 3475 3892 4865 4900 5560 6811 6950 7784 9730 9800 13622 13900 19460 24325 27244 27800 34055 38920 48650 54488 68110 97300 136220 170275 194600 272440 340550 681100 1362200 147562841 295125682 590251364 737814205 1032939887 1180502728 1475628410 2065879774 2951256820 3689071025 4131759548 5164699435 5902513640 7230579209 7378142050 8263519096 10329398870 14461158418 14756284100 20511234899 20658797740 25823497175 28922316836 29512568200 36152896045 41022469798 41317595480 51646994350 57844633672 72305792090 82044939596 102556174495 103293988700 143578644293 144611584180 164089879192 180764480225 205112348990 206587977400 287157288586 289223168360 361528960450 410224697980 512780872475 574314577172 717893221465 723057920900 820449395960 1005050510051 1025561744950 1148629154344 1435786442930 1446115841800 2010101020102 2051123489900 2871572885860 3589466107325 4020202040204 4102246979800 5025252550255 5743145771720 7178932214650 8040404080408 10050505100510 14357864429300 20101010201020 25126262751275 28715728858600 40202020402040 50252525502550 100505051005100 201010102010200