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1100222013330 = 2325112323756779
BaseRepresentation
bin10000000000101010010…
…101111001111110010010
310220011212100211012202200
4100000222111321332102
5121011223313411310
62201233544024030
7142326345544506
oct20005225717622
93804770735680
101100222013330
11394668709990
12159292162016
137c99aa9c1cb
143b372b7a306
151d9452079c0
hex1002a579f92

1100222013330 has 288 divisors, whose sum is σ = 3350435175360. Its totient is φ = 248224331520.

The previous prime is 1100222013311. The next prime is 1100222013377. The reversal of 1100222013330 is 333102220011.

1100222013330 is a `hidden beast` number, since 1 + 100 + 2 + 220 + 13 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19348881 + ... + 19405659.

It is an arithmetic number, because the mean of its divisors is an integer number (11633455470).

Almost surely, 21100222013330 is an apocalyptic number.

1100222013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100222013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675217587680).

1100222013330 is an abundant number, since it is smaller than the sum of its proper divisors (2250213162030).

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

1100222013330 is a wasteful number, since it uses less digits than its factorization.

1100222013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56886 (or 56860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100222013330 its reverse (333102220011), we get a palindrome (1433324233341).

The spelling of 1100222013330 in words is "one trillion, one hundred billion, two hundred twenty-two million, thirteen thousand, three hundred thirty".