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21102222222 = 2344316991783
BaseRepresentation
bin10011101001110010…
…100101101110001110
32000110122112221220000
4103221302211232032
5321204132102342
613405541505130
71344634633524
oct235162455616
960418487800
1021102222222
118a49721984
12410b1121a6
131cb3b55c33
141042842314
158378e044c
hex4e9ca5b8e

21102222222 has 80 divisors (see below), whose sum is σ = 48439881600. Its totient is φ = 6862596048.

The previous prime is 21102222191. The next prime is 21102222233. The reversal of 21102222222 is 22222220112.

It is a Harshad number since it is a multiple of its sum of digits (18).

21102222222 is a modest number, since divided by 222222 gives 21102 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 21102222195 and 21102222204.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 11834343 + ... + 11836125.

It is an arithmetic number, because the mean of its divisors is an integer number (605498520).

Almost surely, 221102222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24219940800).

21102222222 is an abundant number, since it is smaller than the sum of its proper divisors (27337659378).

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

21102222222 is a wasteful number, since it uses less digits than its factorization.

21102222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21102222222 its reverse (22222220112), we get a palindrome (43324442334).

The spelling of 21102222222 in words is "twenty-one billion, one hundred two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 1699 1783 2322 3398 3483 3566 5097 5349 6966 10194 10698 15291 16047 30582 32094 45873 48141 73057 76669 91746 96282 137619 144423 146114 153338 219171 230007 275238 288846 438342 460014 657513 690021 1315026 1380042 1972539 2070063 3029317 3945078 4140126 5917617 6058634 6210189 9087951 11835234 12420378 18175902 27263853 54527706 81791559 130260631 163583118 245374677 260521262 390781893 490749354 781563786 1172345679 2344691358 3517037037 7034074074 10551111111 21102222222