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201022022212120 = 235106119973237151
BaseRepresentation
bin101101101101010000010110…
…001110011101101000011000
3222100202111222100201202211101
4231231100112032131220120
5202322021100141241440
61551312124144241144
760225235051633564
oct5555202616355030
9870674870652741
10201022022212120
1159062a629a614a
121a6674b86101b4
1388223abb85965
14378d736b506a4
15183909dd7069a
hexb6d41639da18

201022022212120 has 64 divisors (see below), whose sum is σ = 452750421507840. Its totient is φ = 80328662208000.

The previous prime is 201022022212087. The next prime is 201022022212127. The reversal of 201022022212120 is 21212220220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022022212127) 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, 847535545 + ... + 847772695.

It is an arithmetic number, because the mean of its divisors is an integer number (7074225336060).

Almost surely, 2201022022212120 is an apocalyptic number.

201022022212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022022212120 is an abundant number, since it is smaller than the sum of its proper divisors (251728399295720).

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

201022022212120 is a wasteful number, since it uses less digits than its factorization.

201022022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258196 (or 258192 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201022022212120 its reverse (21212220220102), we get a palindrome (222234242432222).

The spelling of 201022022212120 in words is "two hundred one trillion, twenty-two billion, twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1061 2122 4244 5305 8488 10610 19973 21220 39946 42440 79892 99865 159784 199730 237151 399460 474302 798920 948604 1185755 1897208 2371510 4743020 9486040 21191353 42382706 84765412 105956765 169530824 211913530 251617211 423827060 503234422 847654120 1006468844 1258086055 2012937688 2516172110 4736616923 5032344220 9473233846 10064688440 18946467692 23683084615 37892935384 47366169230 94732338460 189464676920 5025550555303 10051101110606 20102202221212 25127752776515 40204404442424 50255505553030 100511011106060 201022022212120