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22110122012100 = 22352233204365509
BaseRepresentation
bin1010000011011111010011…
…11101111110110111000100
32220021201002102022012010120
411001233221331332313010
510344223012213341400
6115005125544021540
74441255302131553
oct501575175766704
986251072265116
1022110122012100
117054939514481
12259110b1618b0
13c44c8b3c49c5
145661c81b1d9a
15285205a0cca0
hex141be9f7edc4

22110122012100 has 72 divisors (see below), whose sum is σ = 66753342304320. Its totient is φ = 5639683294080.

The previous prime is 22110122012023. The next prime is 22110122012101. The reversal of 22110122012100 is 121022101122.

22110122012100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22110122012100.

It is not an unprimeable number, because it can be changed into a prime (22110122012101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602175855 + ... + 1602189654.

Almost surely, 222110122012100 is an apocalyptic number.

22110122012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110122012100 is an abundant number, since it is smaller than the sum of its proper divisors (44643220292220).

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

22110122012100 is a wasteful number, since it uses less digits than its factorization.

22110122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204365549 (or 3204365542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22110122012100 its reverse (121022101122), we get a palindrome (22231144113222).

The spelling of 22110122012100 in words is "twenty-two trillion, one hundred ten billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 3204365509 6408731018 9613096527 12817462036 16021827545 19226193054 32043655090 38452386108 48065482635 64087310180 73700406707 80109137725 96130965270 147400813414 160218275450 192261930540 221101220121 240327413175 294801626828 320436550900 368502033535 442202440242 480654826350 737004067070 884404880484 961309652700 1105506100605 1474008134140 1842510167675 2211012201210 3685020335350 4422024402420 5527530503025 7370040670700 11055061006050 22110122012100