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22113331110 = 23251337350671
BaseRepresentation
bin10100100110000011…
…101010011110100110
32010002010010121112100
4110212003222132212
5330242003043420
614054141232530
71411663133043
oct244603523646
963063117470
1022113331110
119418442a62
124351862746
132115482610
1410dac421ca
15896568190
hex5260ea7a6

22113331110 has 96 divisors (see below), whose sum is σ = 62084550528. Its totient is φ = 5428581120.

The previous prime is 22113331109. The next prime is 22113331183. The reversal of 22113331110 is 1113331122.

22113331110 is a `hidden beast` number, since 221 + 1 + 3 + 331 + 110 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411075 + ... + 461745.

It is an arithmetic number, because the mean of its divisors is an integer number (646714068).

Almost surely, 222113331110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31042275264).

22113331110 is an abundant number, since it is smaller than the sum of its proper divisors (39971219418).

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

22113331110 is a wasteful number, since it uses less digits than its factorization.

22113331110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51070 (or 51067 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 22113331110 its reverse (1113331122), we get a palindrome (23226662232).

The spelling of 22113331110 in words is "twenty-two billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 373 390 585 746 1119 1170 1865 2238 3357 3730 4849 5595 6714 9698 11190 14547 16785 24245 29094 33570 43641 48490 50671 72735 87282 101342 145470 152013 218205 253355 304026 436410 456039 506710 658723 760065 912078 1317446 1520130 1976169 2280195 3293615 3952338 4560390 5928507 6587230 9880845 11857014 18900283 19761690 29642535 37800566 56700849 59285070 94501415 113401698 170102547 189002830 245703679 283504245 340205094 491407358 567008490 737111037 850512735 1228518395 1474222074 1701025470 2211333111 2457036790 3685555185 4422666222 7371110370 11056665555 22113331110