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1010210020200 = 233252561227789
BaseRepresentation
bin11101011001101010011…
…01011001101101101000
310120120112021101012011100
432230311031121231220
5113022402231121300
62052030054401400
7132661642330533
oct16546515315550
93516467335140
101010210020200
1135a478247217
12143951360260
137435463b104
1436c74439a1a
151b427cac700
hexeb35359b68

1010210020200 has 72 divisors (see below), whose sum is σ = 3392621990550. Its totient is φ = 269389338240.

The previous prime is 1010210020133. The next prime is 1010210020213. The reversal of 1010210020200 is 20200120101.

It can be written as a sum of positive squares in 3 ways, for example, as 425544866244 + 584665153956 = 652338^2 + 764634^2 .

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, 280612095 + ... + 280615694.

Almost surely, 21010210020200 is an apocalyptic number.

1010210020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010210020200 is an abundant number, since it is smaller than the sum of its proper divisors (2382411970350).

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

1010210020200 is a wasteful number, since it uses less digits than its factorization.

1010210020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561227811 (or 561227799 counting only the distinct ones).

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

Adding to 1010210020200 its reverse (20200120101), we get a palindrome (1030410140301).

Subtracting from 1010210020200 its reverse (20200120101), we obtain a palindrome (990009900099).

The spelling of 1010210020200 in words is "one trillion, ten billion, two hundred ten million, 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 561227789 1122455578 1683683367 2244911156 2806138945 3367366734 4489822312 5051050101 5612277890 6734733468 8418416835 10102100202 11224555780 13469466936 14030694725 16836833670 20204200404 22449111560 25255250505 28061389450 33673667340 40408400808 42092084175 50510501010 56122778900 67347334680 84184168350 101021002020 112245557800 126276252525 168368336700 202042004040 252552505050 336736673400 505105010100 1010210020200