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1100212704 = 253222716829
BaseRepresentation
bin100000110010011…
…1110100111100000
32211200020121002200
41001210332213200
54223123301304
6301101213200
736156440133
oct10144764740
92750217080
101100212704
115150500a8
12268561200
13146c26746
14a619621a
15668c8e39
hex4193e9e0

1100212704 has 72 divisors (see below), whose sum is σ = 3142699560. Its totient is φ = 365100288.

The previous prime is 1100212679. The next prime is 1100212709. The reversal of 1100212704 is 4072120011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100212709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56962 + ... + 73790.

It is an arithmetic number, because the mean of its divisors is an integer number (43648605).

Almost surely, 21100212704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571349780).

1100212704 is an abundant number, since it is smaller than the sum of its proper divisors (2042486856).

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

1100212704 is a wasteful number, since it uses less digits than its factorization.

1100212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17072 (or 17061 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1100212704 is about 33169.4543820063. The cubic root of 1100212704 is about 1032.3466475650.

Adding to 1100212704 its reverse (4072120011), we get a palindrome (5172332715).

The spelling of 1100212704 in words is "one billion, one hundred million, two hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 454 681 908 1362 1816 2043 2724 3632 4086 5448 7264 8172 10896 16344 16829 21792 32688 33658 50487 65376 67316 100974 134632 151461 201948 269264 302922 403896 538528 605844 807792 1211688 1615584 2423376 3820183 4846752 7640366 11460549 15280732 22921098 30561464 34381647 45842196 61122928 68763294 91684392 122245856 137526588 183368784 275053176 366737568 550106352 1100212704