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22001021013 = 3232911397301
BaseRepresentation
bin10100011111010111…
…001111000001010101
32002210021210200001010
4110133113033001111
5330024230133023
614035050122433
71406130410256
oct243727170125
962707720033
1022001021013
1193700037a4
124320120419
1320c811b93a
1410c9d68b2d
1588b781093
hex51f5cf055

22001021013 has 32 divisors (see below), whose sum is σ = 31946192640. Its totient is φ = 13425843200.

The previous prime is 22001021011. The next prime is 22001021027. The reversal of 22001021013 is 31012010022.

It is a cyclic number.

It is not a de Polignac number, because 22001021013 - 21 = 22001021011 is a prime.

It is a super-2 number, since 2×220010210132 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22001021013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001021011) 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, 177463 + ... + 274763.

It is an arithmetic number, because the mean of its divisors is an integer number (998318520).

Almost surely, 222001021013 is an apocalyptic number.

22001021013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22001021013 is a deficient number, since it is larger than the sum of its proper divisors (9945171627).

22001021013 is a wasteful number, since it uses less digits than its factorization.

22001021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97469.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22001021013 its reverse (31012010022), we get a palindrome (53013031035).

The spelling of 22001021013 in words is "twenty-two billion, one million, twenty-one thousand, thirteen".

Divisors: 1 3 23 29 69 87 113 339 667 2001 2599 3277 7797 9831 75371 97301 226113 291903 2237923 2821729 6713769 8465187 10995013 32985039 64899767 194699301 252885299 318855377 758655897 956566131 7333673671 22001021013