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10101011100200 = 2352173291936737
BaseRepresentation
bin1001001011111101001100…
…1011011011001000101000
31022202122110211102210210122
42102333103023123020220
52310443332320201300
633252201311302412
72061526320464636
oct222772313331050
938678424383718
1010101011100200
1132448a6484719
12117178821aa08
135836a12906b7
1426cc6a58a356
15127b3cd02c85
hex92fd32db228

10101011100200 has 48 divisors (see below), whose sum is σ = 23620601471580. Its totient is φ = 4017049487360.

The previous prime is 10101011100199. The next prime is 10101011100223. The reversal of 10101011100200 is 200111010101.

It is a happy number.

10101011100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8076748009444 + 2024263090756 = 2841962^2 + 1422766^2 .

It is a super-2 number, since 2×101010111002002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145933769 + ... + 146002968.

Almost surely, 210101011100200 is an apocalyptic number.

10101011100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101011100200 is an abundant number, since it is smaller than the sum of its proper divisors (13519590371380).

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

10101011100200 is a wasteful number, since it uses less digits than its factorization.

10101011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291936926 (or 291936917 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101011100200 its reverse (200111010101), we get a palindrome (10301122110301).

Subtracting from 10101011100200 its reverse (200111010101), we obtain a palindrome (9900900090099).

The spelling of 10101011100200 in words is "ten trillion, one hundred one billion, eleven million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 291936737 583873474 1167746948 1459683685 2335493896 2919367370 5838734740 7298418425 11677469480 14596836850 29193673700 50505055501 58387347400 101010111002 202020222004 252525277505 404040444008 505050555010 1010101110020 1262626387525 2020202220040 2525252775050 5050505550100 10101011100200