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220120010020 = 225371312270683
BaseRepresentation
bin1100110100000000101…
…1001100110100100100
3210001011112122002112201
43031000023030310210
512101301210310040
6245042143424244
721621531133231
oct3150013146444
9701145562481
10220120010020
1185397009559
12367b18b5084
13179ac825451
14a9222c6788
155ad49e8a9a
hex33402ccd24

220120010020 has 48 divisors (see below), whose sum is σ = 478369539648. Its totient is φ = 85014334080.

The previous prime is 220120009987. The next prime is 220120010023. The reversal of 220120010020 is 20010021022.

It is a super-2 number, since 2×2201200100202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220120009979 and 220120010006.

It is not an unprimeable number, because it can be changed into a prime (220120010023) 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, 1038402 + ... + 1232281.

It is an arithmetic number, because the mean of its divisors is an integer number (9966032076).

Almost surely, 2220120010020 is an apocalyptic number.

220120010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120010020 is an abundant number, since it is smaller than the sum of its proper divisors (258249529628).

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

220120010020 is a wasteful number, since it uses less digits than its factorization.

220120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270860 (or 2270858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220120010020 its reverse (20010021022), we get a palindrome (240130031042).

The spelling of 220120010020 in words is "two hundred twenty billion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 370 524 655 740 1310 2620 4847 9694 19388 24235 48470 96940 2270683 4541366 9082732 11353415 22706830 45413660 84015271 168030542 297459473 336061084 420076355 594918946 840152710 1189837892 1487297365 1680305420 2974594730 5949189460 11006000501 22012001002 44024002004 55030002505 110060005010 220120010020