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1020120200200 = 235217300035353
BaseRepresentation
bin11101101100000111110…
…01101111010000001000
310121112002221010111102001
432312003321233100020
5113203201232401300
62100345312120344
7133462346426563
oct16660371572010
93545087114361
101020120200200
113636a3293122
121458582360b4
137527383a54a
143753469b4da
151b807d2716a
hexed83e6f408

1020120200200 has 48 divisors (see below), whose sum is σ = 2511295912980. Its totient is φ = 384045250560.

The previous prime is 1020120200189. The next prime is 1020120200221. The reversal of 1020120200200 is 20020210201.

1020120200200 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 367233576004 + 652886624196 = 605998^2 + 808014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 150014277 + ... + 150021076.

Almost surely, 21020120200200 is an apocalyptic number.

1020120200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020120200200 is an abundant number, since it is smaller than the sum of its proper divisors (1491175712780).

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

1020120200200 is a wasteful number, since it uses less digits than its factorization.

1020120200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300035386 (or 300035377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020120200200 its reverse (20020210201), we get a palindrome (1040140410401).

The spelling of 1020120200200 in words is "one trillion, twenty billion, one hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 300035353 600070706 1200141412 1500176765 2400282824 3000353530 5100601001 6000707060 7500883825 10201202002 12001414120 15001767650 20402404004 25503005005 30003535300 40804808008 51006010010 60007070600 102012020020 127515025025 204024040040 255030050050 510060100100 1020120200200