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200201211012220 = 225112701213368881
BaseRepresentation
bin101101100001010011111010…
…000100001110010001111100
3222020212001022121122112112021
4231201103322010032101330
5202220044040004342340
61545443055555445524
760112026432563425
oct5541237204162174
9866761277575467
10200201211012220
11588769474219a0
121a5544045b68a4
138792b7c459a22
143761b0c8a064c
151822a5d9c6e4a
hexb614fa10e47c

200201211012220 has 48 divisors (see below), whose sum is σ = 458644608376416. Its totient is φ = 72800149248000.

The previous prime is 200201211012203. The next prime is 200201211012223. The reversal of 200201211012220 is 22210112102002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200201211012194 and 200201211012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201211012223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57742180 + ... + 61111060.

It is an arithmetic number, because the mean of its divisors is an integer number (9555096007842).

Almost surely, 2200201211012220 is an apocalyptic number.

200201211012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201211012220 is an abundant number, since it is smaller than the sum of its proper divisors (258443397364196).

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

200201211012220 is a wasteful number, since it uses less digits than its factorization.

200201211012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639022 (or 3639020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200201211012220 its reverse (22210112102002), we get a palindrome (222411323114222).

The spelling of 200201211012220 in words is "two hundred trillion, two hundred one billion, two hundred eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 270121 540242 1080484 1350605 2701210 2971331 3368881 5402420 5942662 6737762 11885324 13475524 14856655 16844405 29713310 33688810 37057691 59426620 67377620 74115382 148230764 185288455 370576910 741153820 910005504601 1820011009202 3640022018404 4550027523005 9100055046010 10010060550611 18200110092020 20020121101222 40040242202444 50050302753055 100100605506110 200201211012220