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22101111110122 = 21173137117185781
BaseRepresentation
bin1010000011001110100001…
…11000000111100111101010
32220020211211102200221102021
411001213100320013213222
510344101033421010442
6115001035453055054
74440516064543402
oct501472070074752
986224742627367
1022101111110122
117051035057450
12258b41548748a
13c441835c8445
145659b155d802
15284d798cae67
hex1419d0e079ea

22101111110122 has 64 divisors (see below), whose sum is σ = 36960436038528. Its totient is φ = 9827505792000.

The previous prime is 22101111110087. The next prime is 22101111110129.

22101111110122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221011111101222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22101111110096 and 22101111110105.

It is not an unprimeable number, because it can be changed into a prime (22101111110129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257602872 + ... + 257688652.

It is an arithmetic number, because the mean of its divisors is an integer number (577506813102).

Almost surely, 222101111110122 is an apocalyptic number.

22101111110122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22101111110122 is a deficient number, since it is larger than the sum of its proper divisors (14859324928406).

22101111110122 is a wasteful number, since it uses less digits than its factorization.

22101111110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87175.

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

It can be divided in two parts, 2210111 and 1110122, that added together give a palindrome (3320233).

The spelling of 22101111110122 in words is "twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 11 22 73 137 146 274 803 1171 1507 1606 2342 3014 10001 12881 20002 25762 85483 85781 110011 160427 170966 171562 220022 320854 940313 943591 1764697 1880626 1887182 3529394 6262013 11711171 11751997 12524026 23422342 23503994 68882143 100449551 128822881 129271967 137764286 200899102 257645762 258543934 857895781 1104945061 1715791562 2209890122 7332817223 9436853591 13761588487 14665634446 18873707182 27523176974 80660989453 151377473357 161321978906 302754946714 1004595959551 2009191919102 11050555555061 22101111110122