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201101212212 = 223472773114139
BaseRepresentation
bin1011101101001010010…
…0001111101000110100
3201020002002102001122220
42323102210033220310
511243323402242322
6232215024522340
720346322046145
oct2732244175064
9636062361586
10201101212212
117831743423a
1232b844803b0
1315c6b505834
149a3a457acc
15536ee9955c
hex2ed290fa34

201101212212 has 96 divisors (see below), whose sum is σ = 482612981760. Its totient is φ = 65144699520.

The previous prime is 201101212121. The next prime is 201101212217. The reversal of 201101212212 is 212212101102.

201101212212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201101212191 and 201101212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101212217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48584839 + ... + 48588977.

It is an arithmetic number, because the mean of its divisors is an integer number (5027218560).

Almost surely, 2201101212212 is an apocalyptic number.

It is an amenable number.

201101212212 is an abundant number, since it is smaller than the sum of its proper divisors (281511769548).

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

201101212212 is a wasteful number, since it uses less digits than its factorization.

201101212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201101212212 its reverse (212212101102), we get a palindrome (413313313314).

The spelling of 201101212212 in words is "two hundred one billion, one hundred one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 277 282 311 554 564 622 831 933 1108 1244 1662 1866 3324 3732 4139 8278 12417 13019 14617 16556 24834 26038 29234 39057 43851 49668 52076 58468 78114 86147 87702 156228 172294 175404 194533 258441 344588 389066 516882 583599 778132 1033764 1146503 1167198 1287229 2293006 2334396 2574458 3439509 3861687 4048909 4586012 5148916 6879018 7723374 8097818 12146727 13758036 15446748 16195636 24293454 48586908 53885641 60499763 107771282 120999526 161656923 181499289 215542564 241999052 323313846 356562433 362998578 646627692 713124866 725997156 1069687299 1426249732 2139374598 4278749196 16758434351 33516868702 50275303053 67033737404 100550606106 201101212212