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1100000001100 = 22527112131952579
BaseRepresentation
bin10000000000011101000…
…110111111110001001100
310220011021220001211020111
4100000131012333301030
5121010300000013400
62201155533325404
7142321011510520
oct20003506776114
93804256054214
101100000001100
11394564361900
1215922b936864
137c963aa8920
143b3514a7d80
151d9309a13ba
hex1001d1bfc4c

1100000001100 has 432 divisors, whose sum is σ = 3399225491200. Its totient is φ = 299820787200.

The previous prime is 1100000001097. The next prime is 1100000001127. The reversal of 1100000001100 is 11000000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1100000001100.

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, 20894611 + ... + 20947189.

Almost surely, 21100000001100 is an apocalyptic number.

1100000001100 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 1100000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699612745600).

1100000001100 is an abundant number, since it is smaller than the sum of its proper divisors (2299225490100).

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

1100000001100 is a wasteful number, since it uses less digits than its factorization.

1100000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52654 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1100000001100 its reverse (11000000011), we get a palindrome (1111000001111).

1100000001100 divided by its reverse (11000000011) gives a square (100 = 102).

The spelling of 1100000001100 in words is "one trillion, one hundred billion, one thousand, one hundred".