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21220213101003 = 327553160898351
BaseRepresentation
bin1001101001100101101110…
…10000111001000111001011
32210010122002010200112111200
410310302313100321013023
510240132444023213003
6113044233055355243
74320052443162360
oct464626720710713
983118063615450
1021220213101003
1168414950a4084
122468752522b23
13bac099469827
145350c70a0467
1526bebe3836a3
hex134cb74391cb

21220213101003 has 24 divisors (see below), whose sum is σ = 35036527059456. Its totient is φ = 12123643518000.

The previous prime is 21220213100993. The next prime is 21220213101019. The reversal of 21220213101003 is 30010131202212.

21220213101003 is a `hidden beast` number, since 212 + 20 + 21 + 310 + 100 + 3 = 666.

It is not a de Polignac number, because 21220213101003 - 29 = 21220213100491 is a prime.

It is a super-3 number, since 3×212202131010033 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21220213101403) 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 23 ways as a sum of consecutive naturals, for example, 30100723 + ... + 30797628.

It is an arithmetic number, because the mean of its divisors is an integer number (1459855294144).

Almost surely, 221220213101003 is an apocalyptic number.

21220213101003 is a deficient number, since it is larger than the sum of its proper divisors (13816313958453).

21220213101003 is a wasteful number, since it uses less digits than its factorization.

21220213101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60903895 (or 60903892 counting only the distinct ones).

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

Adding to 21220213101003 its reverse (30010131202212), we get a palindrome (51230344303215).

The spelling of 21220213101003 in words is "twenty-one trillion, two hundred twenty billion, two hundred thirteen million, one hundred one thousand, three".

Divisors: 1 3 7 9 21 63 5531 16593 38717 49779 116151 348453 60898351 182695053 426288457 548085159 1278865371 3836596113 336828779381 1010486338143 2357801455667 3031459014429 7073404367001 21220213101003