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1023222110220 = 22325107339115667
BaseRepresentation
bin11101110001111001100…
…10100101100000001100
310121211010002220212000100
432320330302211200030
5113231024330011340
62102021200531100
7133632253301202
oct16707462454014
93554102825010
101023222110220
11364a4522a022
12146383020a90
1375649383a6b
143774a631072
151b93a2eb830
hexee3cca580c

1023222110220 has 144 divisors (see below), whose sum is σ = 3133904836608. Its totient is φ = 270212181120.

The previous prime is 1023222110179. The next prime is 1023222110231. The reversal of 1023222110220 is 220112223201.

1023222110220 is a `hidden beast` number, since 1 + 0 + 232 + 2 + 211 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023222110193 and 1023222110202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65302827 + ... + 65318493.

It is an arithmetic number, because the mean of its divisors is an integer number (21763228032).

Almost surely, 21023222110220 is an apocalyptic number.

1023222110220 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 1023222110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566952418304).

1023222110220 is an abundant number, since it is smaller than the sum of its proper divisors (2110682726388).

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

1023222110220 is a wasteful number, since it uses less digits than its factorization.

1023222110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19180 (or 19175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1023222110220 its reverse (220112223201), we get a palindrome (1243334333421).

The spelling of 1023222110220 in words is "one trillion, twenty-three billion, two hundred twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3391 3852 4815 6420 6782 9630 10173 13564 15667 16955 19260 20346 30519 31334 33910 40692 47001 50865 61038 62668 67820 78335 94002 101730 122076 141003 152595 156670 188004 203460 235005 282006 305190 313340 362837 470010 564012 610380 705015 725674 940020 1088511 1410030 1451348 1676369 1814185 2177022 2820060 3265533 3352738 3628370 4354044 5029107 5442555 6531066 6705476 7256740 8381845 10058214 10885110 13062132 15087321 16327665 16763690 20116428 21770220 25145535 30174642 32655330 33527380 50291070 53126797 60349284 65310660 75436605 100582140 106253594 150873210 159380391 212507188 265633985 301746420 318760782 478141173 531267970 637521564 796901955 956282346 1062535940 1593803910 1912564692 2390705865 3187607820 4781411730 5684567279 9562823460 11369134558 17053701837 22738269116 28422836395 34107403674 51161105511 56845672790 68214807348 85268509185 102322211022 113691345580 170537018370 204644422044 255805527555 341074036740 511611055110 1023222110220