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1100010220000 = 2554792273067
BaseRepresentation
bin10000000000011101101…
…101111110100111100000
310220011022121021222221021
4100000131231332213200
5121010310104020000
62201200540335224
7142321164411316
oct20003555764740
93804277258837
101100010220000
1139456a10147a
12159233244514
137c965c46003
143b3529a80b6
151d93181e11a
hex1001db7e9e0

1100010220000 has 240 divisors, whose sum is σ = 2753415624960. Its totient is φ = 432379584000.

The previous prime is 1100010219961. The next prime is 1100010220009. The reversal of 1100010220000 is 220100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010220009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 358658467 + ... + 358661533.

It is an arithmetic number, because the mean of its divisors is an integer number (11472565104).

Almost surely, 21100010220000 is an apocalyptic number.

1100010220000 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 1100010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376707812480).

1100010220000 is an abundant number, since it is smaller than the sum of its proper divisors (1653405404960).

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

1100010220000 is an equidigital number, since it uses as much as digits as its factorization.

1100010220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1100010220000 its reverse (220100011), we get a palindrome (1100230320011).

The spelling of 1100010220000 in words is "one trillion, one hundred billion, ten million, two hundred twenty thousand".