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21221120201202 = 232171013491196687
BaseRepresentation
bin1001101001100111011010…
…10101001101000111110010
32210010201102100120000001100
410310303231111031013302
510240141323232414302
6113044503101545230
74320114066332355
oct464635525150762
983121370500040
1021221120201202
116841910135969
122468966275216
13bac1b237abcc
1453517174829c
1526c023d13d1c
hex134ced54d1f2

21221120201202 has 96 divisors (see below), whose sum is σ = 49180097251584. Its totient is φ = 6589767744000.

The previous prime is 21221120201201. The next prime is 21221120201261. The reversal of 21221120201202 is 20210202112212.

It is a happy number.

21221120201202 is a `hidden beast` number, since 21 + 221 + 1 + 20 + 201 + 202 = 666.

It is a super-2 number, since 2×212211202012022 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21221120201201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107794503 + ... + 107991189.

It is an arithmetic number, because the mean of its divisors is an integer number (512292679704).

Almost surely, 221221120201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221120201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590048625792).

21221120201202 is an abundant number, since it is smaller than the sum of its proper divisors (27958977050382).

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

21221120201202 is a wasteful number, since it uses less digits than its factorization.

21221120201202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200304 (or 200301 counting only the distinct ones).

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

Adding to 21221120201202 its reverse (20210202112212), we get a palindrome (41431322313414).

The spelling of 21221120201202 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 3491 5151 6982 10302 10473 15453 20946 30906 31419 59347 62838 118694 178041 196687 352591 356082 393374 534123 590061 705182 1057773 1068246 1180122 1770183 2115546 3173319 3343679 3540366 5994047 6346638 6687358 10031037 11988094 17982141 19865387 20062074 30093111 35964282 39730774 53946423 59596161 60186222 107892846 119192322 178788483 337711579 357576966 675423158 686634317 1013134737 1373268634 2026269474 2059902951 3039404211 4119805902 6078808422 6179708853 11672783389 12359417706 23345566778 35018350167 69350066017 70036700334 105055050501 138700132034 208050198051 210110101002 416100396102 624150594153 1178951122289 1248301188306 2357902244578 3536853366867 7073706733734 10610560100601 21221120201202