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21012100220200 = 2352389811333019
BaseRepresentation
bin1001100011100010000101…
…10001010000010100101000
32202101201220101120210202111
410301301002301100110220
510223230240124021300
6112404454154212104
74266034300654555
oct461610261202450
982351811523674
1021012100220200
1167711aa876511
122434351a24034
13b95581403b8b
14528dc372da2c
1526688da679ba
hex131c42c50528

21012100220200 has 96 divisors (see below), whose sum is σ = 49039259724000. Its totient is φ = 8372871763200.

The previous prime is 21012100220179. The next prime is 21012100220207. The reversal of 21012100220200 is 202200121012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21012100220207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62929291 + ... + 63262309.

It is an arithmetic number, because the mean of its divisors is an integer number (510825622125).

Almost surely, 221012100220200 is an apocalyptic number.

21012100220200 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 21012100220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24519629862000).

21012100220200 is an abundant number, since it is smaller than the sum of its proper divisors (28027159503800).

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

21012100220200 is a wasteful number, since it uses less digits than its factorization.

21012100220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334235 (or 334226 counting only the distinct ones).

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

Adding to 21012100220200 its reverse (202200121012), we get a palindrome (21214300341212).

The spelling of 21012100220200 in words is "twenty-one trillion, twelve billion, one hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 389 778 811 1556 1622 1945 3112 3244 3890 4055 6488 7780 8110 9725 15560 16220 19450 20275 32440 38900 40550 77800 81100 162200 315479 333019 630958 666038 1261916 1332076 1577395 1665095 2523832 2664152 3154790 3330190 6309580 6660380 7886975 8325475 12619160 13320760 15773950 16650950 31547900 33301900 63095800 66603800 129544391 259088782 270078409 518177564 540156818 647721955 1036355128 1080313636 1295443910 1350392045 2160627272 2590887820 2700784090 3238609775 5181775640 5401568180 6477219550 6751960225 10803136360 12954439100 13503920450 25908878200 27007840900 54015681800 105060501101 210121002202 420242004404 525302505505 840484008808 1050605011010 2101210022020 2626512527525 4202420044040 5253025055050 10506050110100 21012100220200