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200111122202220 = 223251796210773501
BaseRepresentation
bin101101100000000000000000…
…010110101011111001101100
3222020112102210011122210222200
4231200000000112223321230
5202212110034240432340
61545333440323541500
760102360104411535
oct5540000026537154
9866472704583880
10200111122202220
1158841717662609
121a53aa61b2a890
138787523111368
14375b603c8568c
151820539956330
hexb600005abe6c

200111122202220 has 72 divisors (see below), whose sum is σ = 610394819776560. Its totient is φ = 53064848784000.

The previous prime is 200111122202149. The next prime is 200111122202291. The reversal of 200111122202220 is 22202221111002.

It is a happy number.

200111122202220 is a `hidden beast` number, since 200 + 1 + 11 + 12 + 220 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (200111122202149) and next prime (200111122202291).

It is a super-2 number, since 2×2001111222022202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200111122202193 and 200111122202202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105354531 + ... + 3105418970.

It is an arithmetic number, because the mean of its divisors is an integer number (8477705830230).

Almost surely, 2200111122202220 is an apocalyptic number.

200111122202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200111122202220 is an abundant number, since it is smaller than the sum of its proper divisors (410283697574340).

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

200111122202220 is a wasteful number, since it uses less digits than its factorization.

200111122202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210773695 (or 6210773690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200111122202220 its reverse (22202221111002), we get a palindrome (222313343313222).

The spelling of 200111122202220 in words is "two hundred trillion, one hundred eleven billion, one hundred twenty-two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 16110 32220 6210773501 12421547002 18632320503 24843094004 31053867505 37264641006 55896961509 62107735010 74529282012 93161602515 111793923018 124215470020 186323205030 223587846036 279484807545 372646410060 558969615090 1111728456679 1117939230180 2223456913358 3335185370037 4446913826716 5558642283395 6670370740074 10005556110111 11117284566790 13340741480148 16675926850185 20011112220222 22234569133580 33351853700370 40022224440444 50027780550555 66703707400740 100055561101110 200111122202220