Search a number
-
+
2202321101013 = 3211435319749549
BaseRepresentation
bin100000000011000100100…
…100010010000011010101
321210112120112200200110200
4200003010210102003111
5242040323200213023
64403422104211113
7315053366326305
oct40030444220325
97715515620420
102202321101013
11779aa9935590
122b69a8a69a99
1312c8a7705ca7
1478842d33605
153c44a0e0743
hex200c49120d5

2202321101013 has 96 divisors (see below), whose sum is σ = 3636468950400. Its totient is φ = 1272582904320.

The previous prime is 2202321101011. The next prime is 2202321101017. The reversal of 2202321101013 is 3101011232022.

2202321101013 is a `hidden beast` number, since 220 + 232 + 110 + 101 + 3 = 666.

It is not a de Polignac number, because 2202321101013 - 21 = 2202321101011 is a prime.

It is a super-2 number, since 2×22023211010132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202321101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44422563 + ... + 44472111.

It is an arithmetic number, because the mean of its divisors is an integer number (37879884900).

Almost surely, 22202321101013 is an apocalyptic number.

It is an amenable number.

2202321101013 is a deficient number, since it is larger than the sum of its proper divisors (1434147849387).

2202321101013 is a wasteful number, since it uses less digits than its factorization.

2202321101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49859 (or 49856 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2202321101013 its reverse (3101011232022), we get a palindrome (5303332333035).

The spelling of 2202321101013 in words is "two trillion, two hundred two billion, three hundred twenty-one million, one hundred one thousand, thirteen".

Divisors: 1 3 9 11 33 43 53 99 129 159 197 387 473 477 583 591 1419 1749 1773 2167 2279 4257 5247 6501 6837 8471 10441 19503 20511 25069 25413 31323 49549 75207 76239 93181 93969 114851 148647 225621 279543 344553 445941 448963 545039 838629 1033659 1346889 1635117 2130607 2626097 4040667 4905351 4938593 6391821 7878291 9761153 14815779 19175463 23436677 23634873 28887067 29283459 44447337 70310031 86661201 87850377 107372683 112922171 210930093 259983603 322118049 338766513 419729579 517341109 966354147 1016299539 1242143881 1259188737 1552023327 3726431643 3777566211 4617025369 4656069981 5690752199 11179294929 13851076107 17072256597 22245667687 41553228321 51216769791 66737003061 200211009183 244702344557 734107033671 2202321101013