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1100022000000 = 273567112381
BaseRepresentation
bin10000000000011110011…
…010111010100110000000
310220011100102110111001120
4100000132122322212000
5121010321113000000
62201202041032240
7142321366503330
oct20003632724600
93804312414046
101100022000000
11394575817a10
12159237185680
137c96850bb21
143b3543930c0
151d9328996a0
hex1001e6ba980

1100022000000 has 896 divisors, whose sum is σ = 4555516688640. Its totient is φ = 228480000000.

The previous prime is 1100021999983. The next prime is 1100022000013. The reversal of 1100022000000 is 2200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 461998810 + ... + 462001190.

Almost surely, 21100022000000 is an apocalyptic number.

1100022000000 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 1100022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277758344320).

1100022000000 is an abundant number, since it is smaller than the sum of its proper divisors (3455494688640).

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

1100022000000 is an frugal number, since it uses more digits than its factorization.

1100022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1100022000000 its reverse (2200011), we get a palindrome (1100024200011).

The spelling of 1100022000000 in words is "one trillion, one hundred billion, twenty-two million", and thus it is an aban number.