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22041311314022 = 272111321027311777
BaseRepresentation
bin1010000001011111001001…
…00010000000000001100110
32220001010110212211112210022
411000233210202000001212
510342111101144022042
6114513345535555142
74433301145632500
oct500574442000146
986033425745708
1022041311314022
117028738691560
12257b90668bab2
13c3b643497300
14562b3b502d70
15283529a22cd2
hex140be4880066

22041311314022 has 144 divisors (see below), whose sum is σ = 45440129200752. Its totient is φ = 7925500477440.

The previous prime is 22041311314003. The next prime is 22041311314079.

It is a happy number.

22041311314022 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22041311313982 and 22041311314000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1871549798 + ... + 1871561574.

It is an arithmetic number, because the mean of its divisors is an integer number (315556452783).

Almost surely, 222041311314022 is an apocalyptic number.

22041311314022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22041311314022 is an abundant number, since it is smaller than the sum of its proper divisors (23398817886730).

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

22041311314022 is a wasteful number, since it uses less digits than its factorization.

22041311314022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22103 (or 22083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2204131 and 1314022, that added together give a palindrome (3518153).

The spelling of 22041311314022 in words is "twenty-two trillion, forty-one billion, three hundred eleven million, three hundred fourteen thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 169 182 286 338 539 637 1001 1078 1183 1274 1859 2002 2366 3718 7007 8281 10273 11777 13013 14014 16562 20546 23554 26026 71911 82439 91091 113003 129547 133549 143822 153101 164878 182182 226006 259094 267098 306202 503377 577073 791021 906829 934843 1006754 1071707 1154146 1469039 1582042 1684111 1736137 1813658 1869686 1990313 2143414 2938078 3368222 3472274 3980626 5537147 6347803 6543901 7501949 10283273 11074294 11788777 12152959 12695606 13087802 13932191 15003898 19097507 20566546 21893443 23577554 24305918 27864382 38195014 43786886 71982911 82521439 85070713 97525337 120985121 133682549 143965822 153254101 165042878 170141426 195050674 241970242 267365098 306508202 846895847 935777843 1072778707 1330836331 1572806573 1693791694 1871555686 2145557414 2661672662 3145613146 5928270929 9315854317 11009646011 11856541858 17300872303 18631708634 20446485449 22019292022 34601744606 40892970898 65210980219 77067522077 121106106121 130421960438 143125398143 154135044154 224911339939 242212212242 286250796286 449822679878 847742742847 1001877787001 1574379379573 1695485485694 2003755574002 3148758759146 11020655657011 22041311314022