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10063440020 = 22517591014967
BaseRepresentation
bin10010101111101001…
…11110100010010100
3221222100010201110202
421113310332202110
5131102220040040
64342330240032
7504244554164
oct112764764224
927870121422
1010063440020
1142a4605487
121b4a286018
13c44ba014a
146b67585a4
153dd740015
hex257d3e894

10063440020 has 96 divisors (see below), whose sum is σ = 22985544960. Its totient is φ = 3686758400.

The previous prime is 10063440019. The next prime is 10063440029. The reversal of 10063440020 is 2004436001.

It is a happy number.

It is a super-2 number, since 2×100634400202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10063439974 and 10063440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10063440029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023577 + ... + 2028543.

It is an arithmetic number, because the mean of its divisors is an integer number (239432760).

Almost surely, 210063440020 is an apocalyptic number.

10063440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10063440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11492772480).

10063440020 is an abundant number, since it is smaller than the sum of its proper divisors (12922104940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10063440020 is a wasteful number, since it uses less digits than its factorization.

10063440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10063440020 its reverse (2004436001), we get a palindrome (12067876021).

The spelling of 10063440020 in words is "ten billion, sixty-three million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 101 118 170 202 236 295 340 404 505 590 1003 1010 1180 1717 2006 2020 3434 4012 4967 5015 5959 6868 8585 9934 10030 11918 17170 19868 20060 23836 24835 29795 34340 49670 59590 84439 99340 101303 119180 168878 202606 293053 337756 405212 422195 501667 506515 586106 844390 1003334 1013030 1172212 1465265 1688780 2006668 2026060 2508335 2930530 4981901 5016670 5861060 8528339 9963802 10033340 17056678 19927604 24909505 29598353 34113356 42641695 49819010 59196706 85283390 99638020 118393412 147991765 170566780 295983530 503172001 591967060 1006344002 2012688004 2515860005 5031720010 10063440020