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20440312221 = 373237311831
BaseRepresentation
bin10011000010010101…
…100110100110011101
31221202112001110001210
4103002111212212131
5313330204442341
613220134455033
71322346534000
oct230225464635
957675043053
1020440312221
11873a02911a
123b65504479
131c09991c04
14dbc981537
157e9743c16
hex4c256699d

20440312221 has 64 divisors (see below), whose sum is σ = 33621811200. Its totient is φ = 11018367360.

The previous prime is 20440312201. The next prime is 20440312223. The reversal of 20440312221 is 12221304402.

It is not a de Polignac number, because 20440312221 - 211 = 20440310173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440312223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721776 + ... + 1733606.

It is an arithmetic number, because the mean of its divisors is an integer number (525340800).

Almost surely, 220440312221 is an apocalyptic number.

20440312221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20440312221 is a deficient number, since it is larger than the sum of its proper divisors (13181498979).

20440312221 is a wasteful number, since it uses less digits than its factorization.

20440312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11951 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20440312221 its reverse (12221304402), we get a palindrome (32661616623).

The spelling of 20440312221 in words is "twenty billion, four hundred forty million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 49 69 73 147 161 219 343 483 511 1029 1127 1533 1679 3381 3577 5037 7889 10731 11753 11831 23667 25039 35259 35493 75117 82271 82817 246813 248451 272113 575897 579719 816339 863663 1727691 1739157 1904791 2590989 4058033 5714373 6045641 12174099 13333537 18136923 19864249 40000611 42319487 59592747 93334759 126958461 139049743 280004277 296236409 417149229 888709227 973348201 2920044603 6813437407 20440312221