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200010101221000 = 23537119983238141
BaseRepresentation
bin101101011110100001111011…
…000010001110011010001000
3222020011210000211212020210201
4231132201323002032122020
5202203431141403033000
61545215212205421544
760062152522265440
oct5536417302163210
9866153024766721
10200010101221000
1158802897983184
121a52336a26a8b4
13877ab43c29825
14375677d3b5120
15181cac5c9396a
hexb5e87b08e688

200010101221000 has 128 divisors (see below), whose sum is σ = 534890860508160. Its totient is φ = 68574032352000.

The previous prime is 200010101220967. The next prime is 200010101221001. The reversal of 200010101221000 is 122101010002.

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

It is not an unprimeable number, because it can be changed into a prime (200010101221001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 839761930 + ... + 840000070.

It is an arithmetic number, because the mean of its divisors is an integer number (4178834847720).

Almost surely, 2200010101221000 is an apocalyptic number.

200010101221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010101221000 is an abundant number, since it is smaller than the sum of its proper divisors (334880759287160).

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

200010101221000 is a wasteful number, since it uses less digits than its factorization.

200010101221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358152 (or 358138 counting only the distinct ones).

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

Adding to 200010101221000 its reverse (122101010002), we get a palindrome (200132202231002).

The spelling of 200010101221000 in words is "two hundred trillion, ten billion, one hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 119983 238141 239966 476282 479932 599915 839881 952564 959864 1190705 1199830 1666987 1679762 1905128 2381410 2399660 2999575 3333974 3359524 4199405 4762820 4799320 5953525 5999150 6667948 6719048 8334935 8398810 9525640 11907050 11998300 13335896 14997875 16669870 16797620 20997025 23814100 23996600 29767625 29995750 33339740 33595240 41674675 41994050 47628200 59535250 59991500 66679480 83349350 83988100 104985125 119070500 119983000 166698700 167976200 208373375 209970250 238141000 333397400 416746750 419940500 833493500 839881000 1666987000 28572871603 57145743206 114291486412 142864358015 200010101221 228582972824 285728716030 400020202442 571457432060 714321790075 800040404884 1000050506105 1142914864120 1428643580150 1600080809768 2000101012210 2857287160300 3571608950375 4000202024420 5000252530525 5714574320600 7143217900750 8000404048840 10000505061050 14286435801500 20001010122100 25001262652625 28572871603000 40002020244200 50002525305250 100005050610500 200010101221000