Search a number
-
+
212220003210021 = 321937127607435107
BaseRepresentation
bin110000010000001101010001…
…111001111101001100100101
31000211102000220220120012102200
4300100031101321331030211
5210304003031310210041
62031204305031525113
762462250341630562
oct6020152171751445
91024360826505380
10212220003210021
116168aaa8280084
121b9757a9829799
13915535022a681
143a597081a3869
1519804e15d61b6
hexc10351e7d325

212220003210021 has 96 divisors (see below), whose sum is σ = 334555028520960. Its totient is φ = 129170844125568.

The previous prime is 212220003210011. The next prime is 212220003210031. The reversal of 212220003210021 is 120012300022212.

212220003210021 is a `hidden beast` number, since 2 + 122 + 200 + 0 + 321 + 0 + 0 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (212220003210011) and next prime (212220003210031).

It is not a de Polignac number, because 212220003210021 - 217 = 212220003078949 is a prime.

It is a super-2 number, since 2×2122200032100212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212220003209976 and 212220003210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220003210011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487524550 + ... + 487959656.

It is an arithmetic number, because the mean of its divisors is an integer number (3484948213760).

Almost surely, 2212220003210021 is an apocalyptic number.

It is an amenable number.

212220003210021 is a deficient number, since it is larger than the sum of its proper divisors (122335025310939).

212220003210021 is a wasteful number, since it uses less digits than its factorization.

212220003210021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435903 (or 435900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212220003210021 its reverse (120012300022212), we get a palindrome (332232303232233).

The spelling of 212220003210021 in words is "two hundred twelve trillion, two hundred twenty billion, three million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 19 37 57 111 127 171 333 381 607 703 1143 1821 2109 2413 4699 5463 6327 7239 11533 14097 21717 22459 34599 42291 67377 77089 89281 103797 202131 231267 267843 426721 435107 693801 803529 1280163 1305321 1464691 2852293 3840489 3915963 4394073 8267033 8556879 13182219 16098959 24801099 25670637 48296877 54193567 55258589 74403297 144890631 162580701 165775767 264109949 305880221 487742103 497327301 792329847 917640663 1049913191 2044567793 2376989541 2752921989 3149739573 5018089031 6133703379 9449218719 9772068113 15054267093 18401110137 29316204339 33541963523 38846788067 45162801279 87948613017 100625890569 116540364201 185669294147 301877671707 349621092603 557007882441 637297306937 1241052650351 1671023647323 1911891920811 3723157951053 5735675762433 11169473853159 23580000356669 70740001070007 212220003210021