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101222022220220 = 225112243205127107
BaseRepresentation
bin10111000000111110010110…
…101011011000100110111100
3111021101201201202201100011002
4113000332112223120212330
5101231410200142021340
6555140431031545432
730215023033501046
oct2700762653304674
9437351652640132
10101222022220220
112a286022766270
12b42960a52b278
134463271062795
141add25a022a96
15ba803ca27715
hex5c0f96ad89bc

101222022220220 has 48 divisors (see below), whose sum is σ = 231993836097408. Its totient is φ = 36791597732160.

The previous prime is 101222022220169. The next prime is 101222022220271. The reversal of 101222022220220 is 22022220222101.

It is an interprime number because it is at equal distance from previous prime (101222022220169) and next prime (101222022220271).

It is a super-2 number, since 2×1012220222202202 (a number of 29 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 = 101222022220192 and 101222022220201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102070094 + ... + 103057013.

It is an arithmetic number, because the mean of its divisors is an integer number (4833204918696).

Almost surely, 2101222022220220 is an apocalyptic number.

101222022220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222022220220 is an abundant number, since it is smaller than the sum of its proper divisors (130771813877188).

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

101222022220220 is a wasteful number, since it uses less digits than its factorization.

101222022220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205129370 (or 205129368 counting only the distinct ones).

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

Adding to 101222022220220 its reverse (22022220222101), we get a palindrome (123244242442321).

The spelling of 101222022220220 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2243 4486 8972 11215 22430 24673 44860 49346 98692 123365 246730 493460 205127107 410254214 820508428 1025635535 2051271070 2256398177 4102542140 4512796354 9025592708 11281990885 22563981770 45127963540 460100101001 920200202002 1840400404004 2300500505005 4601001010010 5061101111011 9202002020020 10122202222022 20244404444044 25305505555055 50611011110110 101222022220220