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200010112200 = 233252111116729
BaseRepresentation
bin1011101001000110001…
…0000001110011001000
3201010021001022102211100
42322101202001303020
511234110042042300
6231514450501400
720310302621433
oct2722142016310
9633231272740
10200010112200
1177907548698
123291ab94860
1315b2644cb22
14997559481a
1553092c0700
hex2e91881cc8

200010112200 has 72 divisors (see below), whose sum is σ = 671700632850. Its totient is φ = 53336029440.

The previous prime is 200010112199. The next prime is 200010112201. The reversal of 200010112200 is 2211010002.

It is an interprime number because it is at equal distance from previous prime (200010112199) and next prime (200010112201).

It can be written as a sum of positive squares in 3 ways, for example, as 145430873316 + 54579238884 = 381354^2 + 233622^2 .

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 not an unprimeable number, because it can be changed into a prime (200010112201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55556565 + ... + 55560164.

Almost surely, 2200010112200 is an apocalyptic number.

200010112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010112200 is an abundant number, since it is smaller than the sum of its proper divisors (471690520650).

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

200010112200 is a wasteful number, since it uses less digits than its factorization.

200010112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111116751 (or 111116739 counting only the distinct ones).

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

Adding to 200010112200 its reverse (2211010002), we get a palindrome (202221122202).

The spelling of 200010112200 in words is "two hundred billion, ten million, one hundred twelve 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 111116729 222233458 333350187 444466916 555583645 666700374 888933832 1000050561 1111167290 1333400748 1666750935 2000101122 2222334580 2666801496 2777918225 3333501870 4000202244 4444669160 5000252805 5555836450 6667003740 8000404488 8333754675 10000505610 11111672900 13334007480 16667509350 20001011220 22223345800 25001264025 33335018700 40002022440 50002528050 66670037400 100005056100 200010112200