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10101220200 = 2332525611789
BaseRepresentation
bin10010110100001010…
…00110001101101000
3222001222020011010200
421122011012031220
5131141403021300
64350200112200
7505213645401
oct113205061550
928058204120
1010101220200
11431396a275
121b5aa65660
13c4c96a496
146bb7909a8
153e1c04200
hex25a146368

10101220200 has 72 divisors (see below), whose sum is σ = 33923270550. Its totient is φ = 2693658240.

The previous prime is 10101220163. The next prime is 10101220219. The reversal of 10101220200 is 202210101.

It can be written as a sum of positive squares in 3 ways, for example, as 8023501476 + 2077718724 = 89574^2 + 45582^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2804095 + ... + 2807694.

Almost surely, 210101220200 is an apocalyptic number.

10101220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101220200 is an abundant number, since it is smaller than the sum of its proper divisors (23822050350).

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

10101220200 is a wasteful number, since it uses less digits than its factorization.

10101220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611811 (or 5611799 counting only the distinct ones).

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

Adding to 10101220200 its reverse (202210101), we get a palindrome (10303430301).

The spelling of 10101220200 in words is "ten billion, one hundred one million, two hundred twenty thousand, two hundred".

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 5611789 11223578 16835367 22447156 28058945 33670734 44894312 50506101 56117890 67341468 84176835 101012202 112235780 134682936 140294725 168353670 202024404 224471560 252530505 280589450 336707340 404048808 420884175 505061010 561178900 673414680 841768350 1010122020 1122357800 1262652525 1683536700 2020244040 2525305050 3367073400 5050610100 10101220200