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121001020000200 = 233252454714783987
BaseRepresentation
bin11011100000110010111110…
…110100001000011111001000
3120212102120210010111211122200
4123200302332310020133020
5111324440042110001300
61105203033505320200
734326015034613544
oct3340627664103710
9525376703454580
10121001020000200
113561127633337a
12116a2984936060
135269468b15c12
1421c46a2b4ca24
15dec7aa6ee200
hex6e0cbed087c8

121001020000200 has 144 divisors (see below), whose sum is σ = 406451155528080. Its totient is φ = 32259840170880.

The previous prime is 121001020000153. The next prime is 121001020000319. The reversal of 121001020000200 is 2000020100121.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 792607 + ... + 15576593.

It is an arithmetic number, because the mean of its divisors is an integer number (2822577468945).

Almost surely, 2121001020000200 is an apocalyptic number.

121001020000200 is a gapful number since it is divisible by the number (10) 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 121001020000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203225577764040).

121001020000200 is an abundant number, since it is smaller than the sum of its proper divisors (285450135527880).

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

121001020000200 is a wasteful number, since it uses less digits than its factorization.

121001020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14788556 (or 14788544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121001020000200 its reverse (2000020100121), we get a palindrome (123001040100321).

The spelling of 121001020000200 in words is "one hundred twenty-one trillion, one billion, twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 4547 9094 13641 18188 22735 27282 36376 40923 45470 54564 68205 81846 90940 109128 113675 136410 163692 181880 204615 227350 272820 327384 341025 409230 454700 545640 682050 818460 909400 1023075 1364100 1636920 2046150 2728200 4092300 8184600 14783987 29567974 44351961 59135948 73919935 88703922 118271896 133055883 147839870 177407844 221759805 266111766 295679740 354815688 369599675 443519610 532223532 591359480 665279415 739199350 887039220 1064447064 1108799025 1330558830 1478398700 1774078440 2217598050 2661117660 2956797400 3326397075 4435196100 5322235320 6652794150 8870392200 13305588300 26611176600 67222788889 134445577778 201668366667 268891155556 336113944445 403336733334 537782311112 605005100001 672227888890 806673466668 1008341833335 1210010200002 1344455777780 1613346933336 1680569722225 2016683666670 2420020400004 2688911555560 3025025500005 3361139444450 4033367333340 4840040800008 5041709166675 6050051000010 6722278888900 8066734666680 10083418333350 12100102000020 13444557777800 15125127500025 20166836666700 24200204000040 30250255000050 40333673333400 60500510000100 121001020000200