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1102202000000 = 27561134877
BaseRepresentation
bin10000000010100000010…
…110111101001010000000
310220100222100111221212022
4100002200112331022000
5121024302203000000
62202202234021012
7142426410263423
oct20024026751200
93810870457768
101102202000000
11395494327202
12159745277768
137cc2505a05a
143b4bdb059ba
151da0de65585
hex100a05bd280

1102202000000 has 224 divisors, whose sum is σ = 2769563377260. Its totient is φ = 436889600000.

The previous prime is 1102201999999. The next prime is 1102202000017. The reversal of 1102202000000 is 2022011.

It can be written as a sum of positive squares in 14 ways, for example, as 1094768801344 + 7433198656 = 1046312^2 + 86216^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 225997562 + ... + 226002438.

Almost surely, 21102202000000 is an apocalyptic number.

1102202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384781688630).

1102202000000 is an abundant number, since it is smaller than the sum of its proper divisors (1667361377260).

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

1102202000000 is an frugal number, since it uses more digits than its factorization.

1102202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1102202000000 its reverse (2022011), we get a palindrome (1102204022011).

The spelling of 1102202000000 in words is "one trillion, one hundred two billion, two hundred two million", and thus it is an aban number.