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201000022102000 = 24531113766688793
BaseRepresentation
bin101101101100111011110110…
…111010101100111111110000
3222100200102012010122101022001
4231230323312322230333300
5202321141021124231000
61551254045125423344
760223525632036052
oct5554736672547760
9870612163571261
10201000022102000
11590546a3464860
121a66319886ab54
1388202b3cc5814
14378c64ad818d2
15183871271e46a
hexb6cef6eacff0

201000022102000 has 160 divisors (see below), whose sum is σ = 534071604890304. Its totient is φ = 72557405696000.

The previous prime is 201000022101961. The next prime is 201000022102049. The reversal of 201000022102000 is 201220000102.

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 (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30330397 + ... + 36358396.

Almost surely, 2201000022102000 is an apocalyptic number.

201000022102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000022102000 is an abundant number, since it is smaller than the sum of its proper divisors (333071582788304).

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

201000022102000 is a wasteful number, since it uses less digits than its factorization.

201000022102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66688964 (or 66688948 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201000022102000 its reverse (201220000102), we get a palindrome (201201242102102).

The spelling of 201000022102000 in words is "two hundred one trillion, twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 137 176 200 220 250 274 275 400 440 500 548 550 685 880 1000 1096 1100 1370 1375 1507 2000 2192 2200 2740 2750 3014 3425 4400 5480 5500 6028 6850 7535 10960 11000 12056 13700 15070 17125 22000 24112 27400 30140 34250 37675 54800 60280 68500 75350 120560 137000 150700 188375 274000 301400 376750 602800 753500 1507000 3014000 66688793 133377586 266755172 333443965 533510344 666887930 733576723 1067020688 1333775860 1467153446 1667219825 2667551720 2934306892 3334439650 3667883615 5335103440 5868613784 6668879300 7335767230 8336099125 9136364641 11737227568 13337758600 14671534460 16672198250 18272729282 18339418075 26675517200 29343068920 33344396500 36545458564 36678836150 45681823205 58686137840 66688793000 73090917128 73357672300 91363646410 91697090375 100500011051 133377586000 146181834256 146715344600 182727292820 183394180750 201000022102 228409116025 293430689200 365454585640 366788361500 402000044204 456818232050 502500055255 730909171280 733576723000 804000088408 913636464100 1005000110510 1142045580125 1467153446000 1608000176816 1827272928200 2010000221020 2284091160250 2512500276275 3654545856400 4020000442040 4568182320500 5025000552550 8040000884080 9136364641000 10050001105100 12562501381375 18272729282000 20100002210200 25125002762750 40200004420400 50250005525500 100500011051000 201000022102000