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10002221201200 = 2452196719643011
BaseRepresentation
bin1001000110001101001011…
…0101110111011100110000
31022102012110222210222001111
42101203102311313130300
52302334022111414300
633134542413043104
72051431236264454
oct221432265673460
938365428728044
1010002221201200
113206a11124398
1211565b7786494
135772893a0c67
14268178128664
151252a9e4b9ba
hex918d2d77730

10002221201200 has 120 divisors (see below), whose sum is σ = 25672630963520. Its totient is φ = 3733743340800.

The previous prime is 10002221201191. The next prime is 10002221201213. The reversal of 10002221201200 is 210212220001.

It is a happy number.

10002221201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9312306 + ... + 10330705.

Almost surely, 210002221201200 is an apocalyptic number.

10002221201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002221201200 is an abundant number, since it is smaller than the sum of its proper divisors (15670409762320).

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

10002221201200 is a wasteful number, since it uses less digits than its factorization.

10002221201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19643115 (or 19643104 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002221201200 its reverse (210212220001), we get a palindrome (10212433421201).

The spelling of 10002221201200 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 67 76 80 95 100 134 152 190 200 268 304 335 380 400 475 536 670 760 950 1072 1273 1340 1520 1675 1900 2546 2680 3350 3800 5092 5360 6365 6700 7600 10184 12730 13400 20368 25460 26800 31825 50920 63650 101840 127300 254600 509200 19643011 39286022 78572044 98215055 157144088 196430110 314288176 373217209 392860220 491075275 746434418 785720440 982150550 1316081737 1492868836 1571440880 1866086045 1964301100 2632163474 2985737672 3732172090 3928602200 5264326948 5971475344 6580408685 7464344180 7857204400 9330430225 10528653896 13160817370 14928688360 18660860450 21057307792 25005553003 26321634740 29857376720 32902043425 37321720900 50011106006 52643269480 65804086850 74643441800 100022212012 105286538960 125027765015 131608173700 149286883600 200044424024 250055530030 263216347400 400088848048 500111060060 526432694800 625138825075 1000222120120 1250277650150 2000444240240 2500555300300 5001110600600 10002221201200