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20102124224 = 2671330711243
BaseRepresentation
bin10010101110001011…
…100001001011000000
31220212221200201100102
4102232023201023000
5312132120433344
613122414141532
71311102144110
oct225613411300
956787621312
1020102124224
118586141506
123a901b18a8
131b848b3280
14d89aab040
157c9bdee4e
hex4ae2e12c0

20102124224 has 112 divisors (see below), whose sum is σ = 49259874048. Its totient is φ = 7925879808.

The previous prime is 20102124221. The next prime is 20102124227. The reversal of 20102124224 is 42242120102.

It is an interprime number because it is at equal distance from previous prime (20102124221) and next prime (20102124227).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20102124196 and 20102124205.

It is not an unprimeable number, because it can be changed into a prime (20102124221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782347 + ... + 1793589.

It is an arithmetic number, because the mean of its divisors is an integer number (439820304).

Almost surely, 220102124224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24629937024).

20102124224 is an abundant number, since it is smaller than the sum of its proper divisors (29157749824).

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

20102124224 is a wasteful number, since it uses less digits than its factorization.

20102124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582 (or 11572 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20102124224 its reverse (42242120102), we get a palindrome (62344244326).

The spelling of 20102124224 in words is "twenty billion, one hundred two million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 307 364 416 448 614 728 832 1228 1456 2149 2456 2912 3991 4298 4912 5824 7982 8596 9824 11243 15964 17192 19648 22486 27937 31928 34384 44972 55874 63856 68768 78701 89944 111748 127712 137536 146159 157402 179888 223496 255424 292318 314804 359776 446992 584636 629608 719552 893984 1023113 1169272 1259216 1787968 2046226 2338544 2518432 3451601 4092452 4677088 5036864 6903202 8184904 9354176 13806404 16369808 24161207 27612808 32739616 44870813 48322414 55225616 65479232 89741626 96644828 110451232 179483252 193289656 220902464 314095691 358966504 386579312 628191382 717933008 773158624 1256382764 1435866016 1546317248 2512765528 2871732032 5025531056 10051062112 20102124224