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22122121110 = 235311271571193
BaseRepresentation
bin10100100110100101…
…001100011110010110
32010002201200012010220
4110212211030132112
5330301230333420
614055053455210
71412130632625
oct244645143626
963081605126
1022122121110
1194223a7021
1243547a1506
13211723c4bb
1410dc08d6bc
15897202840
hex52694c796

22122121110 has 128 divisors (see below), whose sum is σ = 55635738624. Its totient is φ = 5623188480.

The previous prime is 22122121067. The next prime is 22122121123. The reversal of 22122121110 is 1112122122.

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 22122121110.

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 63 ways as a sum of consecutive naturals, for example, 18542674 + ... + 18543866.

It is an arithmetic number, because the mean of its divisors is an integer number (434654208).

Almost surely, 222122121110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817869312).

22122121110 is an abundant number, since it is smaller than the sum of its proper divisors (33513617514).

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

22122121110 is a wasteful number, since it uses less digits than its factorization.

22122121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518.

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

Adding to 22122121110 its reverse (1112122122), we get a palindrome (23234243232).

The spelling of 22122121110 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 127 155 157 186 254 310 314 381 465 471 635 762 785 930 942 1193 1270 1570 1905 2355 2386 3579 3810 3937 4710 4867 5965 7158 7874 9734 11811 11930 14601 17895 19685 19939 23622 24335 29202 35790 36983 39370 39878 48670 59055 59817 73005 73966 99695 110949 118110 119634 146010 151511 184915 187301 199390 221898 299085 303022 369830 374602 454533 554745 561903 598170 618109 757555 909066 936505 1109490 1123806 1236218 1515110 1854327 1873010 2272665 2809515 3090545 3708654 4545330 4696841 5619030 5806331 6181090 9271635 9393682 11612662 14090523 17418993 18543270 23484205 23787227 28181046 29031655 34837986 46968410 47574454 58063310 70452615 71361681 87094965 118936135 140905230 142723362 174189930 237872270 356808405 713616810 737404037 1474808074 2212212111 3687020185 4424424222 7374040370 11061060555 22122121110