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22102102110220 = 22511712336072907
BaseRepresentation
bin1010000011010000010111…
…11100011111000000001100
32220020221101111102221222121
411001220023330133000030
510344110101120011340
6115001322053422324
74440552460111456
oct501501374370014
986227344387877
1022102102110220
1170514a34934a0
12258b65133a9a4
13c442b0a04032
14565a670072d6
15284dd68d094a
hex141a0bf1f00c

22102102110220 has 96 divisors (see below), whose sum is σ = 51567442407936. Its totient is φ = 7889919475200.

The previous prime is 22102102110217. The next prime is 22102102110241. The reversal of 22102102110220 is 2201120120122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22102102110194 and 22102102110203.

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 31 ways as a sum of consecutive naturals, for example, 603007 + ... + 6675913.

It is an arithmetic number, because the mean of its divisors is an integer number (537160858416).

Almost surely, 222102102110220 is an apocalyptic number.

22102102110220 is a gapful number since it is divisible by the number (20) 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 22102102110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783721203968).

22102102110220 is an abundant number, since it is smaller than the sum of its proper divisors (29465340297716).

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

22102102110220 is a wasteful number, since it uses less digits than its factorization.

22102102110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073231 (or 6073229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22102102110220 its reverse (2201120120122), we get a palindrome (24303222230342).

The spelling of 22102102110220 in words is "twenty-two trillion, one hundred two billion, one hundred two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 233 284 355 466 710 781 932 1165 1420 1562 2330 2563 3124 3905 4660 5126 7810 10252 12815 15620 16543 25630 33086 51260 66172 82715 165430 181973 330860 363946 727892 909865 1819730 3639460 6072907 12145814 24291628 30364535 60729070 66801977 121458140 133603954 267207908 334009885 431176397 668019770 862352794 1336039540 1414987331 1724705588 2155881985 2829974662 4311763970 4742940367 5659949324 7074936655 8623527940 9485880734 14149873310 15564860641 18971761468 23714701835 28299746620 31129721282 47429403670 62259442564 77824303205 94858807340 100464100501 155648606410 200928201002 311297212820 401856402004 502320502505 1004641005010 1105105105511 2009282010020 2210210211022 4420420422044 5525525527555 11051051055110 22102102110220