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201022201200 = 243521607104243
BaseRepresentation
bin1011101100110111011…
…0110101110101110000
3201012212120201212221010
42323031312311311300
511243143140414300
6232203123230520
720344342342302
oct2731566656560
9635776655833
10201022201200
1178286879087
1232b61b18440
1315c58030662
149a2db6b972
15536808da50
hex2ecddb5d70

201022201200 has 120 divisors (see below), whose sum is σ = 644348009088. Its totient is φ = 53572048640.

The previous prime is 201022201183. The next prime is 201022201223. The reversal of 201022201200 is 2102220102.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 1876279 + ... + 1980521.

Almost surely, 2201022201200 is an apocalyptic number.

201022201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322174004544).

201022201200 is an abundant number, since it is smaller than the sum of its proper divisors (443325807888).

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

201022201200 is a wasteful number, since it uses less digits than its factorization.

201022201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105871 (or 105860 counting only the distinct ones).

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

Adding to 201022201200 its reverse (2102220102), we get a palindrome (203124421302).

The spelling of 201022201200 in words is "two hundred one billion, twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1607 3214 4821 6428 8035 9642 12856 16070 19284 24105 25712 32140 38568 40175 48210 64280 77136 80350 96420 104243 120525 128560 160700 192840 208486 241050 312729 321400 385680 416972 482100 521215 625458 642800 833944 964200 1042430 1250916 1563645 1667888 1928400 2084860 2501832 2606075 3127290 4169720 5003664 5212150 6254580 7818225 8339440 10424300 12509160 15636450 20848600 25018320 31272900 41697200 62545800 125091600 167518501 335037002 502555503 670074004 837592505 1005111006 1340148008 1675185010 2010222012 2512777515 2680296016 3350370020 4020444024 4187962525 5025555030 6700740040 8040888048 8375925050 10051110060 12563887575 13401480080 16751850100 20102220120 25127775150 33503700200 40204440240 50255550300 67007400400 100511100600 201022201200