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1100021100000 = 2535537113877
BaseRepresentation
bin10000000000011110010…
…111011110110111100000
310220011100100202202111020
4100000132113132313200
5121010320400200000
62201202005445440
7142321356034404
oct20003627366740
93804310682436
101100021100000
11394575262809
12159236a10880
137c968285294
143b3541db104
151d93276cba0
hex1001e5dede0

1100021100000 has 576 divisors, whose sum is σ = 3743826754752. Its totient is φ = 282562560000.

The previous prime is 1100021099999. The next prime is 1100021100043. The reversal of 1100021100000 is 11200011.

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 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 95 ways as a sum of consecutive naturals, for example, 1254299562 + ... + 1254300438.

It is an arithmetic number, because the mean of its divisors is an integer number (6499699227).

Almost surely, 21100021100000 is an apocalyptic number.

1100021100000 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 1100021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871913377376).

1100021100000 is an abundant number, since it is smaller than the sum of its proper divisors (2643805654752).

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

1100021100000 is an equidigital number, since it uses as much as digits as its factorization.

1100021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100021100000 its reverse (11200011), we get a palindrome (1100032300011).

It can be divided in two parts, 1100021 and 100000, that added together give a palindrome (1200021).

The spelling of 1100021100000 in words is "one trillion, one hundred billion, twenty-one million, one hundred thousand".