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413043102220 = 225743547112541
BaseRepresentation
bin1100000001010110100…
…10011001001000001100
31110111010200110121120211
412000223102121020030
523231403013232340
6513425511052204
741561410304050
oct6005322311014
91414120417524
10413043102220
1114a197077121
1268073371064
132cc469218c8
1415dc454bc60
15ab26a115ea
hex602b49920c

413043102220 has 96 divisors (see below), whose sum is σ = 1014623318016. Its totient is φ = 138285100800.

The previous prime is 413043102161. The next prime is 413043102223. The reversal of 413043102220 is 22201340314.

It is a junction number, because it is equal to n+sod(n) for n = 413043102191 and 413043102200.

It is not an unprimeable number, because it can be changed into a prime (413043102223) 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, 32929150 + ... + 32941690.

It is an arithmetic number, because the mean of its divisors is an integer number (10568992896).

Almost surely, 2413043102220 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 413043102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507311659008).

413043102220 is an abundant number, since it is smaller than the sum of its proper divisors (601580215796).

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

413043102220 is a wasteful number, since it uses less digits than its factorization.

413043102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18071 (or 18069 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 413043102220 its reverse (22201340314), we get a palindrome (435244442534).

The spelling of 413043102220 in words is "four hundred thirteen billion, forty-three million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 5471 6020 10942 12541 21884 25082 27355 38297 50164 54710 62705 76594 87787 109420 125410 153188 175574 191485 235253 250820 351148 382970 438935 470506 539263 765940 877870 941012 1078526 1176265 1646771 1755740 2157052 2352530 2696315 3293542 3774841 4705060 5392630 6587084 7549682 8233855 10785260 15099364 16467710 18874205 32935420 37748410 68611811 75496820 137223622 274447244 343059055 480282677 686118110 960565354 1372236220 1921130708 2401413385 2950307873 4802826770 5900615746 9605653540 11801231492 14751539365 20652155111 29503078730 41304310222 59006157460 82608620444 103260775555 206521551110 413043102220