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1100221100022 = 231137821548771
BaseRepresentation
bin10000000000101010010…
…010011010111111110110
310220011212022002210221110
4100000222102122333312
5121011223100200042
62201233512255450
7142326335022012
oct20005222327766
93804768083843
101100221100022
11394668145790
121592919a1586
137c99a83c5a5
143b3729bd542
151d9450c709c
hex1002a49aff6

1100221100022 has 64 divisors (see below), whose sum is σ = 2468367675648. Its totient is φ = 323993808000.

The previous prime is 1100221100003. The next prime is 1100221100047. The reversal of 1100221100022 is 2200011220011.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1100221099980 and 1100221100007.

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 31 ways as a sum of consecutive naturals, for example, 1730497 + ... + 2279267.

It is an arithmetic number, because the mean of its divisors is an integer number (38568244932).

Almost surely, 21100221100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100221100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234183837824).

1100221100022 is an abundant number, since it is smaller than the sum of its proper divisors (1368146575626).

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

1100221100022 is a wasteful number, since it uses less digits than its factorization.

1100221100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549645.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100221100022 its reverse (2200011220011), we get a palindrome (3300232320033).

It can be divided in two parts, 1100 and 221100022, that added together give a palindrome (221101122).

The spelling of 1100221100022 in words is "one trillion, one hundred billion, two hundred twenty-one million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 821 1221 1642 2442 2463 4926 9031 18062 27093 30377 54186 60754 91131 182262 334147 548771 668294 1002441 1097542 1646313 2004882 3292626 6036481 12072962 18109443 20304527 36218886 40609054 60913581 121827162 223349797 446699594 450540991 670049391 901081982 1340098782 1351622973 2703245946 4955950901 9911901802 14867852703 16670016667 29735705406 33340033334 50010050001 100020100002 183370183337 366740366674 550110550011 1100221100022