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1102004400 = 2435271271033
BaseRepresentation
bin100000110101111…
…0100000010110000
32211210121121211210
41001223310002300
54224103120100
6301203440120
736210611550
oct10153640260
92753547753
101102004400
11516064242
12269086040
13147403113
14a6501160
1566b2ec50
hex41af40b0

1102004400 has 240 divisors, whose sum is σ = 4070088704. Its totient is φ = 249661440.

The previous prime is 1102004381. The next prime is 1102004459. The reversal of 1102004400 is 44002011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066284 + ... + 1067316.

Almost surely, 21102004400 is an apocalyptic number.

1102004400 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 1102004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035044352).

1102004400 is an abundant number, since it is smaller than the sum of its proper divisors (2968084304).

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

1102004400 is a wasteful number, since it uses less digits than its factorization.

1102004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1102004400 is about 33196.4516176052. The cubic root of 1102004400 is about 1032.9067356909.

Adding to 1102004400 its reverse (44002011), we get a palindrome (1146006411).

The spelling of 1102004400 in words is "one billion, one hundred two million, four thousand, four hundred".